All Stories

  1. Twenty-five years of dissipative solitons

    Article • January 2022, American Institute of Physics

    Prof. Ivan C Christov

  2. Transient compressible flow in a compliant viscoelastic tube

    Article • Physics of Fluids, November 2020, American Institute of Physics

    Prof. Ivan C Christov

  3. Long-time asymptotics of non-degenerate non-linear diffusion equations

    Article • Journal of Mathematical Physics, August 2020, American Institute of Physics

    Prof. Ivan C Christov

  4. Soft hydraulics in channels with thick walls: The finite-Reynolds-number base state and its stability

    Article • January 2020, American Institute of Physics

    Prof. Ivan C Christov

  5. Flow rate–pressure drop relation for deformable shallow microfluidic channels

    Article • Journal of Fluid Mechanics, February 2018, Cambridge University Press

    Prof. Ivan C Christov

  6. Nonlinear waves in electromigration dispersion in a capillary

    Article • Wave Motion, June 2017, Elsevier

    Prof. Ivan C Christov

  7. On mechanical waves and Doppler shifts from moving boundaries

    Article • Mathematical Methods in the Applied Sciences, February 2017, Wiley

    Prof. Ivan C Christov

  8. Introduction: energy and the subsurface

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, September 2016, Royal Society Publishing

    Prof. Ivan C Christov

  9. Nonlinear acoustics and shock formation in lossless barotropic Green--Naghdi fluids

    Article • Evolution Equations and Control Theory, August 2016, American Institute of Mathematical Sciences (AIMS)

    Prof. Ivan C Christov

  10. Stress retardation versus stress relaxation in linear viscoelasticity

    Article • Mechanics Research Communications, March 2016, Elsevier

    Prof. Ivan C Christov

  11. Corrections to Morse and Ingard's variational-based treatment of weakly-nonlinear acoustics in lossless gases

    Article • The Journal of the Acoustical Society of America, July 2015, Acoustical Society of America (ASA)

    Prof. Ivan C Christov

  12. Flow regimes for fluid injection into a confined porous medium

    Article • Journal of Fluid Mechanics, February 2015, Cambridge University Press

    Howard Stone, Prof. Ivan C Christov

  13. Successive phase transitions and kink solutions in ϕ 8 , ϕ 10 , and ϕ 12 field theories

    Article • Physical Review E, August 2014, American Physical Society (APS)

    Prof. Ivan C Christov

  14. Shear dispersion in dense granular flows

    Article • Granular Matter, April 2014, Springer Science + Business Media

    Prof. Ivan C Christov

  15. Influence of heterogeneity on second-kind self-similar solutions for viscous gravity currents

    Article • Journal of Fluid Mechanics, April 2014, Cambridge University Press

    Howard Stone, Prof. Ivan C Christov

  16. Wave Solutions

    Article • January 2014, Springer Science + Business Media

    Prof. Ivan C Christov

  17. On an instability exhibited by the ballistic-diffusive heat conduction model of Xu and Hu

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, November 2013, Royal Society Publishing

    Prof. Ivan C Christov

  18. Two-Phase Fluid Displacement and Interfacial Instabilities Under Elastic Membranes

    Article • Physical Review Letters, July 2013, American Physical Society (APS)

    Prof. Ivan C Christov

  19. On a difficulty in the formulation of initial and boundary conditions for eigenfunction expansion solutions for the start-up of fluid flow

    Article • Mechanics Research Communications, July 2013, Elsevier

    Prof. Ivan C Christov

  20. CUTTING AND SHUFFLING A LINE SEGMENT: MIXING BY INTERVAL EXCHANGE TRANSFORMATIONS

    Article • International Journal of Bifurcation and Chaos, December 2012, World Scientific Pub Co Pte Lt

    Prof. Ivan C Christov

  21. Parameters and scalings for dry and immersed granular flowing layers in rotating tumblers

    Article • Physical Review E, July 2012, American Physical Society (APS)

    Prof. Ivan C Christov

  22. Hidden solitons in the Zabusky–Kruskal experiment: Analysis using the periodic, inverse scattering transform

    Article • Mathematics and Computers in Simulation, February 2012, Elsevier

    Prof. Ivan C Christov

  23. From streamline jumping to strange eigenmodes: Bridging the Lagrangian and Eulerian pictures of the kinematics of mixing in granular flows

    Article • Physics of Fluids, October 2011, American Institute of Physics

    Prof. Ivan C Christov

  24. An improved formula for the frequency shift due to a variable phase speed

    Article • Journal of Physics A Mathematical and Theoretical, February 2011, Institute of Physics Publishing

    Prof. Ivan C Christov

  25. Stretching and folding versus cutting and shuffling: An illustrated perspective on mixing and deformations of continua

    Article • American Journal of Physics, January 2011, American Association of Physics Teachers (AAPT)

    Prof. Ivan C Christov

  26. Stokes’ first problem for some non-Newtonian fluids: Results and mistakes

    Article • Mechanics Research Communications, December 2010, Elsevier

    Prof. Ivan C Christov

  27. On the Propagation of Second-Sound in Nonlinear Media: Shock, Acceleration and Traveling Wave Results

    Article • Journal of Thermal Stresses, November 2010, Taylor & Francis

    Prof. Ivan C Christov

  28. Chaotic mixing via streamline jumping in quasi-two-dimensional tumbled granular flows

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2010, American Institute of Physics

    Prof. Ivan C Christov

  29. Streamline jumping: A mixing mechanism

    Article • Physical Review E, April 2010, American Physical Society (APS)

    Prof. Ivan C Christov

  30. 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)

    Article • Acta Mechanica, April 2010, Springer Science + Business Media

    Prof. Ivan C Christov

  31. Internal solitary waves in the ocean: Analysis using the periodic, inverse scattering transform

    Article • Mathematics and Computers in Simulation, September 2009, Elsevier

    Prof. Ivan C Christov

  32. Shock and traveling wave phenomena on an externally damped, non-linear string

    Article • International Journal of Non-Linear Mechanics, June 2009, Elsevier

    Prof. Ivan C Christov

  33. Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws

    Article • January 2009, American Mathematical Society (AMS)

    Prof. Ivan C Christov

  34. New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

    Article • Journal of Computational Physics, May 2008, Elsevier

    Prof. Ivan C Christov

  35. Shock bifurcation and emergence of diffusive solitons in a nonlinear wave equation with relaxation

    Article • New Journal of Physics, April 2008, Institute of Physics Publishing

    Prof. Ivan C Christov

  36. Physical dynamics of quasi-particles in nonlinear wave equations

    Article • Physics Letters A, February 2008, Elsevier

    Prof. Ivan C Christov

  37. Using Ocean Acoustics to Improve Large Shallow-water Soliton Simulations

    Article • September 2007, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Ivan C Christov

  38. Nonlinear acoustic propagation in homentropic perfect gases: A numerical study

    Article • Physics Letters A, May 2006, Elsevier

    Prof. Ivan C Christov

  39. Fourier, Scattering, and Wavelet Transforms: Applications to Internal Gravity Waves with Comparisons to Linear Tidal Data

    Article • Springer Science + Business Media

    Prof. Ivan C Christov