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Publications

(* indicates corresponding author(s), if applicable; ► denotes a key publication; most preprints available on arXiv.org or upon request by email.)

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Forthcoming:

  1. Check out what's new on the arXiv!

In Refereed Journals:

  1. Sixth-order parabolic equation on an interval: Eigenfunction expansion, Green’s function, and intermediate asymptotics for a finite thin film with elastic resistance
    Nectarios C. Papanicolaou and Ivan C. Christov*
    Journal of Engineering Mathematics 150 (2025) 1, doi:10.1007/s10665-024-10409-4; preprint arXiv:2402.18740.
    ☞ Invited contribution to Special Collection in Memory of Prof. Steve Davis.
  2. Pressure drop reduction due to coupling between shear-thinning fluid flow and a weakly deformable channel wall: A reciprocal theorem approach
    Shrihari D. Pande and Ivan C. Christov*
    Journal of Non-Newtonian Fluid Mechanics 335 (2025) 105347, doi:10.1016/j.jnnfm.2024.105347; preprint arXiv:2407.07224.
  3. Phase field modeling and numerical algorithm for two-phase dielectric fluid flows
    Jielin Yang, Ivan C. Christov and Suchuan Dong*
    Journal of Computational Physics 514 (2024) 113228, doi:10.1016/j.jcp.2024.113228; preprint arXiv:2305.09020.
  4. ► Flow rate–pressure drop relations for shear-thinning fluids in deformable configurations: Theory and experiments
    SungGyu Chun, Evgeniy Boyko, Ivan C. Christov* and Jie Feng*
    Physical Review Fluids 9 (2024) 043302, doi:10.1103/PhysRevFluids.9.043302; preprint arXiv:2401.05513.
  5. Hydrodynamics of bubble flow through a porous medium with applications to packed bed reactors
    Pranay P. Nagrani, Amy M. Marconnet and Ivan C. Christov*
    AIChE Journal 70 (2024) e18343, doi:10.1002/aic.18343; preprint arXiv:2308.08075.
    Open access (through DOI link above).
  6. Oscillatory flows in compliant conduits at arbitrary Womersley number
    Shrihari D. Pande, Xiaojia Wang and Ivan C. Christov*
    Physical Review Fluids 8 (2023) 124102, doi:10.1103/PhysRevFluids.8.124102; preprint arXiv:2304.00543.
  7. Multi-bounce resonances in the interaction of walking droplets
    George Zhang, Ivan C. Christov and Aminur Rahman*
    Mechanics Research Communications 134 (2023) 104215, doi:10.1016/j.mechrescom.2023.104215; preprint arXiv:2304.06001.
    ☞ Invited contribution to Special Issue in Memory of Prof. Denis L. Blackmore.
  8. ► Data-driven rheological characterization of stress buildup and relaxation in thermal greases
    Pranay P. Nagrani, Ritwik V. Kulkarni, Parth U. Kelkar, Ria D. Corder, Kendra A. Erk, Amy M. Marconnet and Ivan C. Christov*
    Journal of Rheology 67 (2023) 1129–1140, doi:10.1122/8.0000679; preprint arXiv:2304.12104.
    ☞ Featured Article.
    ☞ Featured in a Purdue ME news story.
  9. Delayed Hopf bifurcation and control of a ferrofluid interface via a time-dependent magnetic field
    Zongxin Yu and Ivan C. Christov
    Physical Review E 107 (2023) 055102, doi:10.1103/PhysRevE.107.055102; preprint arXiv:2211.09758.
  10. Physics-informed neural networks for understanding shear migration of particles in viscous flow
    Daihui Lu and Ivan C. Christov*
    International Journal of Multiphase Flow 165 (2023) 104476, doi:10.1016/j.ijmultiphaseflow.2023.104476; preprint arXiv:2111.04684.
  11. Nonlinear Einstein paradigm of Brownian motion and localization property of solutions
    Ivan C. Christov*, Isanka Garli Hevage, Akif Ibraguimov and Rahnuma Islam
    Mathematical Methods in the Applied Sciences 46 (2023) 12895–12913, doi:10.1002/mma.9220; preprint arXiv:2012.15400.
    Open access (through DOI link above).
  12. Non-Fickian macroscopic model of axial diffusion of granular materials in a long cylindrical tumbler
    Ivan C. Christov* and Howard A. Stone
    Mechanics Research Communications 129 (2023) 104100, doi:10.1016/j.mechrescom.2023.104100; preprint arXiv:1902.01200.
    ☞ Invited contribution to Special Issue in Memory of Prof. Denis L. Blackmore.
  13. ► Non-Newtonian fluid–structure interaction: Flow of a viscoelastic Oldroyd-B fluid in a deformable channel
    Evgeniy Boyko* and Ivan C. Christov
    Journal of Non-Newtonian Fluid Mechanics 303 (2023) 104990, doi:10.1016/j.jnnfm.2023.104990; preprint arXiv:2210.13268.
  14. Comparative Assessment of Biomechanical Parameters in Subjects With Multiple Cerebral Aneurysms Using Fluid–Structure Interaction Simulations
    Tanmay C. Shidhore, Aaron A. Cohen-Gadol, Vitaliy L. Rayz* and Ivan C. Christov*
    ASME Journal of Biomechanical Engineering 145 (2023) 051003, doi:10.1115/1.4056317; preprint arXiv:2211.07651.
  15. Flow rate–pressure drop relations for new configurations of slender compliant tubes arising in microfluidics experiments
    Xiaojia Wang, Shrihari D. Pande and Ivan C. Christov*
    Mechanics Research Communications 126 (2022) 104016, doi:10.1016/j.mechrescom.2022.104016; preprint arXiv:2205.10973.
    ☞ Invited contribution to Special Issue celebrating Brian Straughan's 75th birthday.
  16. ► Reduced modelling and global instability of finite-Reynolds-number flow in compliant rectangular channels
    Xiaojia Wang and Ivan C. Christov*
    Journal of Fluid Mechanics 950 (2022) A26, doi:10.1017/jfm.2022.802; preprint arXiv:2202.11704.
    Open access (through DOI link above).
  17. Estimating external tissue support parameters with fluid–structure interaction models from 4D ultrasound of murine thoracic aortae
    Tanmay C. Shidhore, Hannah L. Cebull, Megan C. Madden, Ivan C. Christov, Vitaliy L. Rayz and Craig J. Goergen*
    Engineering with Computers 38 (2022) 4005–4022, doi:10.1007/s00366-022-01735-1.
    ☞ Invited contribution to Special Issue on Image-Based Methods in Computational Medicine.
  18. Flow rate-pressure drop relation for deformable channels via fluidic and elastic reciprocal theorems
    Evgeniy Boyko, Howard A. Stone and Ivan C. Christov
    Physical Review Fluids 7 (2022) L092201, doi:10.1103/PhysRevFluids.7.L092201; preprint arXiv:2203.14112.
  19. Challenges in Modeling Hemodynamics in Cerebral Aneurysms Related to Arteriovenous Malformations
    Kimberly A. Stevens Boster*, Tanmay C. Shidhore, Aaron A. Cohen-Gadol, Ivan C. Christov and Vitaliy L. Rayz
    Cardiovascular Engineering and Technology 13 (2022) 673–684, doi:10.1007/s13239-022-00609-3.
  20. ► Two-fluid modeling of heat transfer in flows of dense suspensions
    Pranay P. Nagrani, Federico Municchi, Amy M. Marconnet and Ivan C. Christov*
    International Journal of Heat and Mass Transfer 183 (2022) 122068, doi:10.1016/j.ijheatmasstransfer.2021.122068; preprint arXiv:2105.08853.
  21. ► Soft hydraulics: from Newtonian to complex fluid flows through compliant conduits
    Ivan C. Christov
    Journal of Physics: Condensed Matter 34 (2022) 063001, doi:10.1088/1361-648X/ac327d; preprint arXiv:2106.07164.
    ☞ Invited topical review.
  22. Long-wave equation for a confined ferrofluid interface: Periodic interfacial waves as dissipative solitons
    Zongxin Yu and Ivan C. Christov*
    Proceedings of the Royal Society A 477 (2021) 20210550, doi:10.1098/rspa.2021.0550; preprint arXiv:2105.09269.
  23. Cell spinpods are a simple inexpensive suspension culture device to deliver fluid shear stress to renal proximal tubular cells
    T. G. Hammond*, C. Nislow, I. C. Christov, V. Batuman, P. P. Nagrani, M. Barandezeh, R. Upadhyay, G. Giaever, P. L. Allen, M. Armbruster, A. Raymond and H. H. Birdsall
    Scientific Reports 11 (2021) 21296, doi:10.1038/s41598-021-00304-8.
    Open access (through DOI link above).
  24. Reduced models of unidirectional flows in compliant rectangular ducts at finite Reynolds number
    Xiaojia Wang and Ivan C. Christov*
    Physics of Fluids 33 (2021) 102004, doi:10.1063/5.0062252; preprint arXiv:2109.03735.
    ☞ Contribution to the special issue "Tribute to Frank M. White on his 88th Anniversary".
    ☞ Featured Article; free to read at DOI link above.
  25. Shape of spreading and leveling gravity currents in a Hele-Shaw cell with flow-wise width variation
    Zhong Zheng, Aditya A. Ghodgaonkar and Ivan C. Christov*
    Physical Review Fluids 6 (2021) 094101, doi:10.1103/PhysRevFluids.6.094101; preprint arXiv:2103.09454.
  26. Profiling a soft solid layer to passively control the conduit shape in a compliant microchannel during flow
    Pratyaksh Karan, Jeevanjyoti Chakraborty*, Suman Chakraborty, Steven T. Wereley and Ivan C. Christov*
    Physical Review E 104 (2021) 015108, doi:10.1103/PhysRevE.104.015108; preprint arXiv:2012.03887.
  27. Flow and fouling in elastic membrane filters with hierarchical branching pore morphology
    Zhengyi Chen, Shi Yue Liu, Ivan C. Christov and Pejman Sanaei*
    Physics of Fluids 33 (2021) 062009, doi:10.1063/5.0054637.
    ☞ Featured Article; free to read at DOI link above.
  28. Comment on "Scattering Cancellation-Based Cloaking for the Maxwell-Cattaneo Heat Waves"
    Ivan C. Christov
    Physical Review Applied 15 (2021) 058001, doi:10.1103/PhysRevApplied.15.058001; preprint arXiv:1908.02188.
  29. Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories
    Ivan C. Christov, Robert J. Decker, A. Demirkaya*, Vakhid A. Gani, P. G. Kevrekidis and Avadh Saxena
    Communications in Nonlinear Science and Numerical Simulation 97 (2021) 105748, doi:10.1016/j.cnsns.2021.105748; preprint arXiv:2005.00154.
  30. Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory
    Vishal Anand and Ivan C. Christov*
    Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 101 (2021) e201900309, doi:10.1002/zamm.201900309; preprint arXiv:1810.05155.
    ☞ Designated as Editor's Choice article for issue 2 of volume 101.
    ☞ Discussed in a Purdue News press release.
  31. Diffusion of ellipsoidal granular particles in shear flow
    Ruihuan Cai, Hongyi Xiao, Ivan C. Christov* and Yongzhi Zhao*
    AIChE Journal 67 (2021) e17109, doi:10.1002/aic.17109.
  32. ► Tuning a magnetic field to generate spinning ferrofluid droplets with controllable speed via nonlinear periodic interfacial waves
    Zongxin Yu and Ivan C. Christov*
    Physical Review E 103 (2021) 013103, doi:10.1103/PhysRevE.103.013103; preprint arXiv:2009.04644.
  33. The hydraulic conductivity of a shaped fracture with permeable walls
    Daihui Lu, Federico Municchi and Ivan C. Christov*
    Mechanics Research Communications 111 (2021) 103650, doi:10.1016/j.mechrescom.2020.103650; preprint ESSOAr.10503684.2.
  34. Transient compressible flow in a compliant viscoelastic tube
    Vishal Anand* and Ivan C. Christov
    Physics of Fluids 32 (2020) 112014, doi:10.1063/5.0022406; preprint arXiv:2007.03077.
  35. Time-averaged transport in oscillatory squeeze flow of a viscoelastic fluid
    Rui Yang, Ivan C. Christov, Ian M. Griffiths and Guy Z. Ramon*
    Physical Review Fluids 5 (2020) 094501, doi:10.1103/PhysRevFluids.5.094501; preprint arXiv:2006.01252.
  36. Long-time asymptotics of non-degenerate non-linear diffusion equations
    Ivan C. Christov*, Akif Ibraguimov and Rahnuma Islam
    Journal of Mathematical Physics 61 (2020) 081505, doi:10.1063/5.0005339; preprint arXiv:2002.07937.
  37. Unsteady fluid-structure interactions in a soft-walled microchannel: A one-dimensional lubrication model for finite Reynolds number
    Tanmay C. Inamdar, Xiaojia Wang and Ivan C. Christov*
    Physical Review Fluids 5 (2020) 064101, doi:10.1103/PhysRevFluids.5.064101; preprint arXiv:1808.03954.
  38. Hydrodynamic Bulge Testing: Materials Characterization without Measuring Deformation
    Vishal Anand, Sanjan C. Muchandimath and Ivan C. Christov*
    ASME Journal of Applied Mechanics 87 (2020) 051012, doi:10.1115/1.4046297; preprint arXiv:1910.03513.
  39. Computational Analysis of Interfacial Dynamics in Angled Hele-Shaw Cells: Instability Regimes
    Daihui Lu, Federico Municchi and Ivan C. Christov*
    Transport in Porous Media 131 (2020) 907–934, doi:10.1007/s11242-019-01371-2; preprint arXiv:1811.06960.
  40. ► Theory of the flow-induced deformation of shallow compliant microchannels with thick walls
    Xiaojia Wang and Ivan C. Christov*
    Proceedings of the Royal Society A 475 (2019) 20190513, doi:10.1098/rspa.2019.0513; preprint arXiv:1908.03556.
  41. A two-fluid model for numerical simulation of shear-dominated suspension flows
    Federico Municchi, Pranay P. Nagrani and Ivan C. Christov*
    International Journal of Multiphase Flow 120 (2019) 103079, doi:10.1016/j.ijmultiphaseflow.2019.07.015; preprint arXiv:1811.06972.
    ☞ Featured in a Purdue ME news story.
  42. ► Kink-Kink and Kink-Antikink Interactions with Long-Range Tails
    Ivan C. Christov, Robert J. Decker, A. Demirkaya, Vakhid A. Gani, P. G. Kevrekidis, Avinash Khare and Avadh Saxena
    Physical Review Letters 122 (2019) 171601, doi:10.1103/PhysRevLett.122.171601; preprint arXiv:1811.07872.
    Open access (through DOI link above) thanks to SCOAP3.
  43. Long-range interactions of kinks
    Ivan C. Christov, Robert J. Decker, A. Demirkaya, Vakhid A. Gani, P. G. Kevrekidis and R. V. Radomskiy
    Physical Review D 99 (2019) 016010, doi:10.1103/PhysRevD.99.016010; preprint arXiv:1810.03590.
    Open access (through DOI link above) thanks to SCOAP3.
    ☞ Featured in Kaleidoscope, a selection of images from Physical Review papers based on aesthetics.
  44. Non-Newtonian fluid–structure interactions: Static response of a microchannel due to internal flow of a power-law fluid
    Vishal Anand, Joshua David John Rathinaraj and Ivan C. Christov*
    Journal of Non-Newtonian Fluid Mechanics 264 (2019) 62–72, doi:10.1016/j.jnnfm.2018.12.008; preprint arXiv:1809.09065.
    • See also: Corrigendum of a typesetting issue regarding the second author's name, ibid. 285 (2020) 104384, doi:10.1016/j.jnnfm.2020.104384.
  45. On a C-integrable equation for second sound propagation in heated dielectrics
    Ivan C. Christov
    Evolution Equations and Control Theory 8 (2019) 57–72, doi:10.3934/eect.2019004; preprint arXiv:1801.09857.
    ☞ Invited paper for the EECT special issue on Nonlinear Wave Phenomena in Continuum Physics: Some Recent Findings.
  46. On the Enhancement of Heat Transfer and Reduction of Entropy Generation by Asymmetric Slip in Pressure-Driven Non-Newtonian Microflows
    Vishal Anand and Ivan C. Christov*
    ASME Journal of Heat Transfer 141 (2019) 022403, doi:10.1115/1.4042157; preprint arXiv:1803.09178.
  47. Acoustic shock and acceleration waves in selected inhomogeneous fluids
    R. S. Keiffer, P. M. Jordan* and I. C. Christov
    Mechanics Research Communications 93 (2018) 80–88, doi:10.1016/j.mechrescom.2017.11.003; preprint arXiv:1711.09451.
    ☞ Invited paper for the special issue Mechanics from the 20th to the 21st Century: The Legacy of Gérard A. Maugin.
    ☞ Please be aware that due to the inability of Elsevier's contractors to produce proper typesetting from publication-ready LaTeX source, the integrity of the "version of record" on ScienceDirect might be compromised. The arXiv preprint should be considered the authoritative version of the manuscript, free of errors (as far as I know).
  48. Cutting and shuffling with diffusion: Evidence for cut-offs in interval exchange maps
    Mengying Wang and Ivan C. Christov*
    Physical Review E 98 (2018) 022221, doi:10.1103/PhysRevE.98.022221; preprint arXiv:1804.01448.
  49. On the numerical solution of a variable-coefficient Burgers equation arising in granular segregation
    Ivan C. Christov
    Materials Physics and Mechanics 35 (2018) 21–27, doi:10.18720/MPM.3512018_4; preprint arXiv:1707.00034.
    ☞ Invited paper for the MPM Special Issue dedicated to the memory of E.L. Aero and Gerard Maugin.
  50. ► Flow rate–pressure drop relation for deformable shallow microfluidic channels
    Ivan C. Christov,* Vincent Cognet, Tanmay C. Shidhore and Howard A. Stone*
    Journal of Fluid Mechanics 841 (2018) 267–286, doi:10.1017/jfm.2018.30; preprint arXiv:1712.02687.
  51. Static response of deformable microchannels: a comparative modelling study
    Tanmay C. Shidhore and Ivan C. Christov*
    Journal of Physics: Condensed Matter 30 (2018) 054002, doi:10.1088/1361-648X/aaa226; preprint arXiv:1709.03002.
    ☞ Invited paper for the special issue on Physics of Integrated Microfluidics.
    • See also: Corrigendum, ibid. 32 (2020) 439501, doi:10.1088/1361-648X/aba71f.
  52. Kink dynamics in a parametric φ6 system: a model with controllably many internal modes
    A. Demirkaya, R. Decker, P. G. Kevrekidis, I. C. Christov and A. Saxena
    Journal of High Energy Physics (JHEP) 2017(12) (2017) 71, doi:10.1007/JHEP12(2017)071; preprint arXiv:1706.01193.
    Open access (through DOI link above) thanks to SCOAP3.
  53. ► On mechanical waves and Doppler shifts from moving boundaries
    Ivan C. Christov* and C. I. Christov
    Mathematical Methods in the Applied Sciences 40 (2017) 4481–4492, doi:10.1002/mma.4318; preprint arXiv:1612.09269.
  54. Nonlinear waves in electromigration dispersion in a capillary
    Ivan C. Christov
    Wave Motion 71 (2017) 42–52, doi:10.1016/j.wavemoti.2016.06.011; preprint arXiv:1603.08277.
    ☞ Invited paper for the special issue on Mathematical Modeling and Physical Dynamics of Solitary Waves: From Continuum Mechanics to Field Theory.
  55. Peakompactons: Peaked compact nonlinear waves
    Ivan C. Christov,* Tyler Kress and Avadh Saxena
    International Journal of Modern Physics B 31 (2017) 1742008, doi:10.1142/S0217979217420085; preprint arXiv:1609.09542.
    ☞ Invited paper for the special issue Proceedings of a Workshop on the Nonlinear Dynamics of Many Body Systems.
  56. Comment on "Locomotion of a microorganism in weakly viscoelastic liquids"
    Ivan C. Christov* and P. M. Jordan
    Physical Review E 94 (2016) 057101, doi:10.1103/PhysRevE.94.057101.
  57. Nonlinear acoustics and shock formation in lossless barotropic Green–Naghdi fluids
    Ivan C. Christov
    Evolution Equations and Control Theory 5 (2016) 349–365, doi:10.3934/eect.2016008; preprint arXiv:1601.06430.
    ☞ Invited paper for the special volume on Mathematics of nonlinear acoustics: New approaches in analysis and modeling.
  58. Acoustic traveling waves in thermoviscous perfect gases: Kinks, acceleration waves, and shocks under the Taylor–Lighthill balance
    Ivan C. Christov, P. M. Jordan,* S. A. Chin-Bing and A. Warn-Varnas
    Mathematics and Computers in Simulation 127 (2016) 2–18, doi:10.1016/j.matcom.2013.03.011.
    ☞ Part of the special issue "Nonlinear Waves: Computation and Theory, WAVES 2011" comprised of a limited number of refereed papers from the 7th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.
  59. Stress retardation versus stress relaxation in linear viscoelasticity
    Ivan C. Christov* and C. I. Christov
    Mechanics Research Communications 72 (2016) 59–63, doi:10.1016/j.mechrescom.2016.01.005; preprint arXiv:1512.09360.
  60. Comment on "The velocity field due to an oscillating plate in an Oldroyd-B fluid" by C.C. Hopkins and J.R. de Bruyn [Can. J. Phys. 92, 533 (2014)]
    Ivan C. Christov
    Canadian Journal of Physics 93 (2015) 1651–1652, doi:10.1139/cjp-2015-0374; preprint arXiv:1506.01470.
  61. On a hierarchy of nonlinearly dispersive generalized KdV equations
    Ivan C. Christov
    Proceedings of the Estonian Academy of Sciences 64 (2015) 212–218, doi:10.3176/proc.2015.3.02; preprint arXiv:1501.01044.
    ☞ Invited paper for the special issue "Complexity of Nonlinear Waves" comprised of refereed papers selected from those presented at the IUTAM Symposium on Complexity of Nonlinear Waves.
  62. Corrections to Morse and Ingard's variational-based treatment of weakly-nonlinear acoustics in lossless gases
    Ivan C. Christov and P. M. Jordan*
    Journal of the Acoustical Society of America 138 (2015) 361–362, doi:10.1121/1.4922951.
  63. Flow regimes for fluid injection into a confined porous medium
    Zhong Zheng, Bo Guo, Ivan C. Christov, Michael A. Celia and Howard A. Stone*
    Journal of Fluid Mechanics 767 (2015) 881–909, doi:10.1017/jfm.2015.68.
    ☞ Featured in the Princeton Carbon Mitigation Initiative's Fourteenth Annual Report.
    ☞ Dr. Zheng received the 2015 CMI Best Paper Award for Postdoctoral Fellows for this publication.
  64. ► Successive phase transitions and kink solutions in φ8, φ10, and φ12 field theories
    Avinash Khare, Ivan C. Christov and Avadh Saxena
    Physical Review E 90 (2014) 023208, doi:10.1103/PhysRevE.90.023208; preprint arXiv:1402.6766.
  65. Shear dispersion in dense granular flows
    Ivan C. Christov* and Howard A. Stone
    Granular Matter 16 (2014) 509–515, doi:10.1007/s10035-014-0498-0; preprint arXiv:1402.6765.
    ☞ Featured in the Princeton Carbon Mitigation Initiative's Fluids & Energy Group's Thirteenth Annual Report.
  66. A Study in Three-Dimensional Chaotic Dynamics: Granular Flow and Transport in a Bi-Axial Spherical Tumbler
    Ivan C. Christov, Richard M. Lueptow, Julio M. Ottino and Rob Sturman
    SIAM Journal on Applied Dynamical Systems 13 (2014) 901–943, doi:10.1137/130934076; preprint arXiv:1404.4660.
  67. ► Influence of heterogeneity on second-kind self-similar solutions for viscous gravity currents
    Zhong Zheng, Ivan C. Christov and Howard A. Stone*
    Journal of Fluid Mechanics 747 (2014) 218–246, doi:10.1017/jfm.2014.148.
    ☞ Featured in the Princeton Carbon Mitigation Initiative's Fluids & Energy Group's Thirteenth Annual Report.
  68. On an instability exhibited by the ballistic-diffusive heat conduction model of Xu and Hu
    Ivan C. Christov and P. M. Jordan*
    Proceedings of the Royal Society A 470 (2014) 20130557, doi:10.1098/rspa.2013.0557.
  69. Two-Phase Fluid Displacement and Interfacial Instabilities Under Elastic Membranes
    Talal T. Al-Housseiny,* Ivan C. Christov and Howard A. Stone
    Physical Review Letters 111 (2013) 034502, doi:10.1103/PhysRevLett.111.034502.
    ☞ Featured in the Princeton Carbon Mitigation Initiative's Fluids & Energy Group's Twelfth Annual Report.
  70. ► On a difficulty in the formulation of initial and boundary conditions for eigenfunction expansion solutions for the start-up of fluid flow
    Ivan C. Christov
    Mechanics Research Communications 51 (2013) 86–92, doi:10.1016/j.mechrescom.2013.05.005; preprint arXiv:1305.5999.
  71. A mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flow
    Conor P. Schlick, Ivan C. Christov, Paul B. Umbanhowar, Julio M. Ottino and Richard M. Lueptow*
    Physics of Fluids 25 (2013) 052102, doi:10.1063/1.4803897.
    ☞ See a mapping-method simulation of the time-periodic sine flow in the background of McCormick's The Great Intersection.
  72. Cutting and Shuffling a Line Segment: Mixing by Interval Exchange Transformations
    Marissa K. Krotter, Ivan C. Christov, Julio M. Ottino and Richard M. Lueptow*
    International Journal of Bifurcation and Chaos 22 (2012) 1230041, doi:10.1142/S0218127412300418; preprint arXiv:1208.2052.
    ☞ Cover article of December 2012 issue.
    ☞ Marissa's contribution to this paper featured in Spring 2013 McCormick Magazine.
  73. ► Resolving a paradox of anomalous scalings in the diffusion of granular materials
    Ivan C. Christov* and Howard A. Stone
    Proceedings of the National Academy of Sciences of the USA 109 (2012) 16012–16017, doi:10.1073/pnas.1211110109.
  74. Parameters and scalings for dry and immersed granular flowing layers in rotating tumblers
    Florent Pignatel, Caroline Asselin, Lucas Krieger, Ivan C. Christov, Julio M. Ottino and Richard M. Lueptow*
    Physical Review E 86 (2012) 011304, doi:10.1103/PhysRevE.86.011304.
  75. Hidden solitons in the Zabusky–Kruskal experiment: Analysis using the periodic, inverse scattering transform
    Ivan C. Christov
    Mathematics and Computers in Simulation 82 (2012) 1069–1078, doi:10.1016/j.matcom.2010.05.021; preprint arXiv:0910.3345.
    ☞ Part of the special issue "Nonlinear Waves: Computation and Theory IX" comprised of a limited number of refereed papers from the 6th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.
    ☞ Winner of a Best Student Paper Award at the 6th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.
  76. Mixing by cutting and shuffling 3D granular flow in spherical tumblers
    Gabriel Juarez, Ivan C. Christov, Julio M. Ottino and Richard M. Lueptow*
    Chemical Engineering Science 73 (2012) 195–207, doi:10.1016/j.ces.2012.01.044.
    ☞ Featured on the Spanish-language science blog La Ciencia de la Mula Francis.
  77. Comments on: "Starting solutions for some unsteady unidirectional flows of a second grade fluid," [Int. J. Eng. Sci. 43 (2005) 781]
    Ivan C. Christov* and P. M. Jordan
    International Journal of Engineering Science 51 (2012) 326–332, doi:10.1016/j.ijengsci.2011.10.012; preprint arXiv:1111.4464.
  78. Dissipative acoustic solitons under a weakly-nonlinear, Lagrangian-averaged Euler-α model of single-phase lossless fluids
    Richard S. Keiffer, R. McNorton, P. M. Jordan and Ivan C. Christov*
    Wave Motion 48 (2011) 782–790, doi:10.1016/j.wavemoti.2011.04.013.
    ☞ Invited paper for the special issue "Nonlinear Waves in Action" dedicated to Professor Christo I. Christov on the occasion of his 60th birthday.
    ☞ Winner of a Best Student Paper Award at the 7th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.
  79. ► From streamline jumping to strange eigenmodes: Bridging the Lagrangian and Eulerian pictures of the kinematics of mixing in granular flows
    Ivan C. Christov, Julio M. Ottino and Richard M. Lueptow*
    Physics of Fluids 23 (2011) 103302, doi:10.1063/1.3653280.
  80. Comments on: "Energetic balance for the Rayleigh–Stokes problem of an Oldroyd-B fluid" [Nonlinear Anal. RWA 12 (2011) 1]
    Ivan C. Christov
    Nonlinear Analysis: Real World Applications 12 (2011) 3687–3690, doi:10.1016/j.nonrwa.2011.06.025; preprint arXiv:1107.2947.
  81. Stretching and folding versus cutting and shuffling: An illustrated perspective on mixing and deformations of continua
    Ivan C. Christov, Richard M. Lueptow and Julio M. Ottino*
    American Journal of Physics 79 (2011) 359–367, doi:10.1119/1.3533213; preprint arXiv:1010.2256.
  82. An improved formula for the frequency shift due to a variable phase speed
    Ivan C. Christov and C. I. Christov
    Journal of Physics A: Mathematical and Theoretical 44 (2011) 112001, doi:10.1088/1751-8113/44/11/112001.
  83. ► Stokes' first problem for some non-Newtonian fluids: Results and mistakes
    Ivan C. Christov
    Mechanics Research Communications 37 (2010) 717–723, doi:10.1016/j.mechrescom.2010.09.006; preprint arXiv:1009.4416.
  84. Comment on "On a class of exact solutions of the equations of motion of a second grade fluid" by C. Fetecău and J. Zierep (Acta Mech. 150, 135–138, 2001)
    Ivan C. Christov* and C. I. Christov
    Acta Mechanica 215 (2010) 25–28, doi:10.1007/s00707-010-0300-2; preprint arXiv:1003.2188.
  85. On the Propagation of Second-Sound in Nonlinear Media: Shock, Acceleration and Traveling Wave Results
    Ivan C. Christov* and P. M. Jordan
    Journal of Thermal Stresses 33 (2010) 1109–1135, doi:10.1080/01495739.2010.517674.
  86. Chaotic mixing via streamline jumping in quasi-two-dimensional tumbled granular flows
    Ivan C. Christov, Julio M. Ottino and Richard M. Lueptow*
    Chaos 20 (2010) 023102, doi:10.1063/1.3368695.
  87. ► Streamline jumping: A mixing mechanism
    Ivan C. Christov, Julio M. Ottino and Richard M. Lueptow*
    Physical Review E 81 (2010) 046307, doi:10.1103/PhysRevE.81.046307.
  88. Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform
    Ivan Christov
    Mathematics and Computers in Simulation 80 (2009) 192–200, doi:10.1016/j.matcom.2009.06.005; preprint arXiv:0708.3421.
    ☞ Part of the special issue "Nonlinear Waves: Computation and Theory VII" comprised of a limited number of refereed papers from the 5th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.
  89. Shock and traveling wave phenomena on an externally damped, non-linear string
    Ivan Christov and P. M. Jordan*
    International Journal of Non-Linear Mechanics 44 (2009) 511–519, doi:10.1016/j.ijnonlinmec.2008.12.004.
    ☞ Invited paper for the special issue "Waves in Nonlinear Solid Mechanics" dedicated to Professor Philippe Boulanger on the occasion of his retirement from the Départment de Mathématiques at the Université Libre de Bruxelles.
  90. ► New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws
    Ivan Christov and Bojan Popov*
    Journal of Computational Physics 227 (2008) 5736–5757, doi:10.1016/j.jcp.2008.02.007.
    ☞ See also Other #5 below.
  91. Shock bifurcation and emergence of diffusive solitons in a nonlinear wave equation with relaxation
    Ivan Christov and P. M. Jordan*
    New Journal of Physics 10 (2008) 043027, doi:10.1088/1367-2630/10/4/043027.
    Open access (through DOI link above).
  92. Physical dynamics of quasi-particles in nonlinear wave equations
    Ivan Christov* and C. I. Christov
    Physics Letters A 372 (2008) 841–848, doi:10.1016/j.physleta.2007.08.038; preprint arXiv:nlin/0612005.
  93. ► Modeling weakly nonlinear acoustic wave propagation
    Ivan Christov, C. I. Christov and P. M. Jordan*
    The Quarterly Journal of Mechanics and Applied Mathematics 60 (2007) 473–495, doi:10.1093/qjmam/hbm017.
    • See also: Corrigendum and Addendum, ibid. 68 (2015) 231–233, doi:10.1093/qjmam/hbu023.
  94. Cumulative Nonlinear Effects in Acoustic Wave Propagation
    Ivan Christov, C. I. Christov and P. M. Jordan*
    CMES: Computer Modeling in Engineering & Sciences 17 (2007) 47–54, doi:10.3970/cmes.2007.017.047.
    Open access (through DOI link above).
  95. Nonlinear acoustic propagation in homentropic perfect gases: A numerical study
    Ivan Christov, P. M. Jordan* and C. I. Christov
    Physics Letters A 353 (2006) 273–280, doi:10.1016/j.physleta.2005.12.101.

In Refereed Proceedings/Edited Volumes:

  1. Christov expansion method for nonlocal nonlinear evolution equations
    M. A. Christou and I. C. Christov
    Proceedings of the 15th Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS 2023) (Albena, Bulgaria), ed. M.D. Todorov
    Journal of Physics: Conference Series 2675 (2023) 012022, doi:10.1088/1742-6596/2675/1/012022.
    Open access (through DOI link above).
  2. Orthonormal eigenfunction expansions for sixth-order boundary value problems
    N. C. Papanicolaou and I. C. Christov
    Proceedings of the 15th Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS 2023) (Albena, Bulgaria), ed. M.D. Todorov
    Journal of Physics: Conference Series 2675 (2023) 012016, doi:10.1088/1742-6596/2675/1/012016; preprint arXiv:2308.00673.
    Open access (through DOI link above).
  3. Twenty-five years of dissipative solitons
    I. C. Christov* and Zongxin Yu
    Proceedings of the 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'21 (Albena, Bulgaria), ed. M.D. Todorov
    AIP Conference Proceedings 2522 (2022) 030003, doi:10.1063/5.0100781; preprint arXiv:2108.13351.
  4. Two-Fluid Modeling of Dense Particulate Suspensions for Electronics Cooling
    Pranay P. Nagrani, Ivan C. Christov and Amy M. Marconnet
    Proceedings of the 20th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (iTherm), virtual (2021) 1190–1197, doi:10.1109/ITherm51669.2021.9503267.
  5. Soft hydraulics in channels with thick walls: The finite-Reynolds-number base state and its stability
    X. Wang and I. C. Christov*
    Proceedings of the 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS'20 (Albena, Bulgaria), ed. M.D. Todorov
    AIP Conference Proceedings 2302 (2020) 020002, doi:10.1063/5.0033517; preprint arXiv:2007.11733.
    ☞ Invited plenary talk.
  6. Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite Difference Scheme: Applications to the Finite Speed Spreading of Non-Newtonian Viscous Gravity Currents
    Aditya A. Ghodgaonkar and Ivan C. Christov*
    Advanced Wave Mathematics II, eds. T. Soomere and A. Berezovski
    Springer Series on Mathematics of Planet Earth 6 (2019) 303–340, doi:10.1007/978-3-030-29951-4_14; preprint arXiv:1903.07568.
    ☞ Invited contribution to refereed edited volume intended to mark the 80th birthday of Prof. Jüri Engelbrecht.
  7. On the Deformation of a Hyperelastic Tube Due to Steady Viscous Flow Within
    Vishal Anand and Ivan C. Christov*
    Dynamical Processes in Generalized Continua and Structures, eds. H. Altenbach, A. Belyaev, V. A. Eremeyev, A. Krivtsov and A. V. Porubov
    Springer Series on Advanced Structured Materials 103 (2019) 17–35, doi:10.1007/978-3-030-11665-1_2; preprint arXiv:1810.05354.
    ☞ Invited contribution to refereed edited volume in honour of Academician D. I. Indeitsev.
  8. Higher-Order Field Theories: φ6, φ8 and Beyond
    Avadh Saxena, Ivan C. Christov* and Avinash Khare
    A Dynamical Perspective on the φ4 Model: Past, Present and Future, eds. P. G. Kevrekidis and J. Cuevas-Maraver
    Springer Series on Nonlinear Systems and Complexity 26 (2019) 253–279, doi:10.1007/978-3-030-11839-6_12; preprint arXiv:1806.06693.
    ☞ Invited contribution.
  9. Topological defects with power-law tails
    R. V. Radomskiy, E. V. Mrozovskaya, V. A. Gani,* I. C. Christov
    Proceedings of 2nd International Conference on Particle Physics and Astrophysics (Moscow, Russian Federation), eds. M. Skorokhvatov and S. Rubin
    Journal of Physics: Conference Series 798 (2017) 012087, doi:10.1088/1742-6596/798/1/012087; preprint arXiv:1611.05634.
    Open access (through DOI link above).
  10. A Parametric Study of Mixing in a Granular Flow a Biaxial Spherical Tumbler
    Ivan C. Christov,* Richard M. Lueptow, Julio M. Ottino and Rob Sturman
    Dynamical Systems: Modelling, ed. J. Awrejcewicz
    Springer Proceedings in Mathematics & Statistics 181 (2016) 143–154, doi:10.1007/978-3-319-42402-6_13; preprint arXiv:1510.01751.
  11. Wave Solutions
    Ivan C. Christov
    Encyclopedia of Thermal Stresses (2014), ed. R.B. Hetnarski, Springer, 6495–6506, doi:10.1007/978-94-007-2739-7_33; preprint arXiv:1208.3622.
  12. Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws
    Ivan Christov, Ilya D. Mishev and Bojan Popov
    Hyperbolic Problems: Theory, Numerics and Applications, eds. E. Tadmor, J.-G. Liu and A. E. Tzavaras
    Proceedings of Symposia in Applied Mathematics 67 (2009) 507–516.
    ☞ Preprint available as Other #5 below.
  13. On the Inertial Force Experienced by a Solid Body Undergoing Rotation about Two Axes
    I. C. Christov and C. I. Christov
    Proceedings of the 1st International Conference on Applications of Mathematics in Technical and Natural Sciences (Sozopol, Bulgaria), eds. M. D. Todorov and C. I. Christov
    AIP Conference Proceedings 1186 (2009) 226–230, doi:10.1063/1.3265333.
  14. The coarse-grain description of interacting sine-Gordon solitons with varying widths
    Ivan Christov and C. I. Christov
    Dynamical Systems and Differential Equations: Proceedings of the 7th AIMS International Conference (Arlington, TX, USA), eds. X. Hou, X. Lu, A. Miranville, J. Su and J. Zhu
    Discrete and Continuous Dynamical Systems (DCDS) Supplement (2009) 171–180, doi:10.3934/proc.2009.2009.171.
    Open access (through DOI link above).
  15. Thermal shock waves under a Maxwell–Cattaneo model with temperature-dependent conductivity
    Ivan Christov
    Proceedings of the Eighth International Congress on Thermal Stresses (2009), eds. M. Ostoja-Starzewski and P. Marzocca, vol. II, 525–528, doi:10.13140/RG.2.1.4704.1047/1. [PDF]
  16. Fourier, Scattering, and Wavelet Transforms: Applications to Internal Gravity Waves with Comparisons to Linear Tidal Data
    James A. Hawkins, Alex Warn-Varnas and Ivan Christov
    Nonlinear Time Series Analysis in the Geosciences: Applications to Climatology, Geodynamics and Solar-Terrestrial Physics, eds. R.V. Donner and S.M. Barbosa
    Springer Lecture Notes in Earth Sciences 112 (2008) 223–244, doi:10.1007/978-3-540-78938-3_10.
  17. Using Ocean Acoustics to Improve Large Shallow-water Soliton Simulations
    Stanley A. Chin-Bing, Alex C. Warn-Varnas, David B. King and Ivan Christov
    Proceedings of MTS/IEEE Oceans 2007 Conference (2007) 1754–1758, doi:10.1109/OCEANS.2007.4449377.

Other:

  1. Letter to the Editor — Comment on: "Stokes' first problem for heated flat plate with Atangana–Baleanu fractional derivative" [Chaos Solitons Fractals 117 (2018) 68]
    Ivan C. Christov,
    Chaos, Solitons and Fractals 147 (2021) 110999, doi:10.1016/j.chaos.2021.110999; preprint arXiv:2105.05416.
  2. Mechanics from the 20th to the 21st Century: The Legacy of Gérard A. Maugin
    Ivan C. Christov* and Michel Destrade
    Mechanics Research Communications 93 (2018) 1–3, doi:10.1016/j.mechrescom.2018.06.003.
    ☞ Introduction to the special issue on "Mechanics from the 20th to the 21st Century," guest co-edited by Ivan C. Christov and Michel Destrade, comprised of a collection of invited refereed papers in the areas of continuum thermomechanics influenced by French engineering scientist Gérard Maugin (1944–2016).
  3. Special issue of Wave Motion — "Mathematical modeling and physical dynamics of solitary waves: From continuum mechanics to field theory"
    Ivan C. Christov, Michail D. Todorov and Sanichiro Yoshida
    Wave Motion 71 (2017) 1–4, doi:10.1016/j.wavemoti.2016.09.007.
    ☞ Introduction to the special issue on "Mathematical modeling and physical dynamics of solitary waves: From continuum mechanics to field theory," guest co-edited by Ivan C. Christov, Michail D. Todorov and Sanichiro Yoshida, comprised of a limited number of refereed papers arising from presentations made at the special session on "Mathematical Modeling and Physical Dynamics of Solitary Waves: From Continuum Mechanics to Field Theory" of the 9th IMACS International Conference on Nonlinear Waves and Phenomena in Athens, Georgia, USA, as well at the 7th AMiTaNS conference in Albena, Bulgaria.
  4. Introduction: energy and the subsurface
    Ivan C. Christov* and Hari S. Viswanathan
    Philosophical Transactions of the Royal Society A 374 (2016) 20150430, doi:10.1098/rsta.2015.0430.
    ☞ Introduction to the theme issue on "Energy and the subsurface," guest co-edited by Ivan C. Christov and Hari S. Viswanathan, comprised of a limited number of refereed papers from the 2015 Center for Nonlinear Studies workshop on Grand Challenges in Geological Fluid Mechanics.
  5. Maxwell's "other" equations
    Ivan Christov and Pedro Jordan
    The Royal Society Publishing Blog (September 22, 2015), royalsociety.org/blog/2015/09/maxwells-other-equations/.
  6. Kinematic Waves
    Ivan Christov
    LinkedIn Pulse (August 11, 2015), www.linkedin.com/pulse/kinematic-waves-ivan-christov.
  7. From Streamline Jumping to Strange Eigenmodes and Three-Dimensional Chaos: A Tour of the Mathematical Aspects of Granular Mixing in Rotating Tumblers
    Ivan C. Christov
    PhD Dissertation (2011), Northwestern University, Evanston, Illinois.
  8. DynSyst_Special_Topics: A Dynamical Systems Approach to Mixing and Segregation of Granular Matter
    Julio M. Ottino, Richard M. Lueptow and Ivan C. Christov
    Proceedings of the 2011 NSF Engineering Research and Innovation Conference, Atlanta, Georgia.
  9. Finite Volume Methods on Unstructured Voronoi Meshes for Hyperbolic Conservation Laws
    Ivan Christov, Ilya D. Mishev and Bojan Popov
    Preprint IAMCS-2008-30 (2008), Institute for Applied Mathematics and Computational Science, Texas A&M University.
  10. A Jiang–Tadmor Scheme on Unstructured Triangulations
    Ivan Christov and Bojan Popov
    Technical Report ISC-06-05-MATH (2006), Institute for Scientific Computation, Texas A&M University.
  11. Properties of a Gradient Descent Algorithm for Active Vibration Control
    Jeff Baker, Ivan Christov, Simona Dediu, Elana Fertig and Wanda Strychalski
    Proceedings of the Twelfth Industrial Mathematical and Statistical Modeling Workshop for Graduate Students, eds. Alina Chertock, Mansoor A. Haider, Mette S. Olufsen and Ralph C. Smith
    Technical Report CRSC-TR06-23 (2006) 89–108, Center for Research in Scientific Computation, North Carolina State University.
  12. Multiscale Image Edge Detection
    Ivan Christov
    1.130/18.327, Spring 2004, Final Project (2004), doi:10.13140/RG.2.1.2213.7363.
  13. Shock Waves in a Tube
    Ivan Christov
    MIT Undergraduate Journal of Mathematics 7 (2005) 23–34. [PDF]
  14. Integrating the Normal Curve
    Ivan Christov
    FOLIO: Literary Journal of the Louisiana School for Math Science and the Arts (2002) 5–8, doi:10.13140/RG.2.1.4441.9609. [PDF]

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