All Stories

  1. Cauchy-Dirichlet problems for the porous medium equation

    Article • Discrete and Continuous Dynamical Systems, January 2023, American Institute of Mathematical Sciences (AIMS)

    Thomas Witelski

  2. Uncovering the dynamics of a circadian-dopamine model influenced by the light–dark cycle

    Article • Mathematical Biosciences, February 2022, Elsevier

    Thomas Witelski

  3. Taylor dispersion in osmotically driven laminar flows in phloem

    Article • Journal of Fluid Mechanics, March 2021, Cambridge University Press

    Thomas Witelski

  4. Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains

    Article • Physica D Nonlinear Phenomena, December 2020, Elsevier

    Thomas Witelski

  5. Steady states of thin film droplets on chemically heterogeneous substrates

    Article • IMA Journal of Applied Mathematics, October 2020, Oxford University Press (OUP)

    Thomas Witelski

  6. Erratum: Obtaining self-similar scalings in focusing flows [Phys. Rev. E 92 , 043016 (2015)]

    Article • May 2020, American Physical Society (APS)

    Thomas Witelski

  7. Nonlinear dynamics of dewetting thin films

    Article • AIMS Mathematics, January 2020, American Institute of Mathematical Sciences (AIMS)

    Thomas Witelski

  8. Steady states and dynamics of a thin-film-type equation with non-conserved mass

    Article • European Journal of Applied Mathematics, November 2019, Cambridge University Press

    Thomas Witelski

  9. Thermal Marangoni-driven dynamics of spinning liquid films

    Article • Physical Review Fluids, August 2019, American Physical Society (APS)

    Thomas Witelski

  10. Principles that govern competition or co-existence in Rho-GTPase driven polarization

    Article • PLoS Computational Biology, April 2018, PLOS

    Thomas Witelski

  11. Self-similar solutions of a 4th order nonlinear parabolic PDE on the half-line

    Article • European Journal of Applied Mathematics, April 2018, Cambridge University Press

    Thomas Witelski

  12. Instability and dynamics of volatile thin films

    Article • Physical Review Fluids, February 2018, American Physical Society (APS)

    Thomas Witelski

  13. Global existence of solutions to a tear film model with locally elevated evaporation rates

    Article • Physica D Nonlinear Phenomena, July 2017, Elsevier

    Thomas Witelski

  14. Finite-time thin film rupture driven by modified evaporative loss

    Article • Physica D Nonlinear Phenomena, March 2017, Elsevier

    Thomas Witelski

  15. Experimental study of regular and chaotic transients in a non-smooth system

    Article • International Journal of Non-Linear Mechanics, May 2016, Elsevier

    Thomas Witelski

  16. Oil capture from a water surface by a falling sphere

    Article • Colloids and Surfaces A Physicochemical and Engineering Aspects, May 2016, Elsevier

    Thomas Witelski

  17. Flow and fouling in a pleated membrane filter

    Article • Journal of Fluid Mechanics, April 2016, Cambridge University Press

    Thomas Witelski

  18. Obtaining self-similar scalings in focusing flows

    Article • Physical Review E, October 2015, American Physical Society (APS)

    Thomas Witelski

  19. Preface to the special issue on “Thin films and fluid interfaces”

    Article • Journal of Engineering Mathematics, August 2015, Springer Science + Business Media

    Thomas Witelski

  20. Methods of Mathematical Modelling

    Article • January 2015, Springer Science + Business Media

    Thomas Witelski

  21. A new model for disturbance waves

    Article • International Journal of Multiphase Flow, November 2014, Elsevier

    Thomas Witelski

  22. A driven system of impacting pendulums: Experiments and simulations

    Article • Journal of Sound and Vibration, March 2014, Elsevier

    Thomas Witelski

  23. Biaxial extensional motion of an inertially driven radially expanding liquid sheet

    Article • Physics of Fluids, June 2013, American Institute of Physics

    Thomas Witelski

  24. Exponential Asymptotics for Thin Film Rupture

    Article • SIAM Journal on Applied Mathematics, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Thomas Witelski

  25. Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions

    Article • Applied Mathematics Letters, December 2012, Elsevier

    Thomas Witelski

  26. A PARAMETRICALLY FORCED NONLINEAR SYSTEM WITH REVERSIBLE EQUILIBRIA

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

    Thomas Witelski

  27. Preface

    Article • Discrete and Continuous Dynamical Systems - B, February 2012, American Institute of Mathematical Sciences (AIMS)

    Thomas Witelski

  28. The Effect of Polar Lipids on Tear Film Dynamics

    Article • Bulletin of Mathematical Biology, June 2010, Springer Science + Business Media

    Thomas Witelski

  29. Motion of spiral waves in the complex Ginzburg–Landau equation

    Article • Physica D Nonlinear Phenomena, April 2010, Elsevier

    Thomas Witelski

  30. Transient and self-similar dynamics in thin film coarsening

    Article • Physica D Nonlinear Phenomena, December 2009, Elsevier

    Thomas Witelski

  31. Stability and dynamics of self-similarity in evolution equations

    Article • Journal of Engineering Mathematics, July 2009, Springer Science + Business Media

    Thomas Witelski

  32. The subtle art of blowing bubbles

    Article • Nature Physics, May 2009, Springer Science + Business Media

    Thomas Witelski

  33. On the planar extensional motion of an inertially driven liquid sheet

    Article • Physics of Fluids, April 2009, American Institute of Physics

    Thomas Witelski

  34. Singular perturbation theory

    Article • Scholarpedia, January 2009, Scholarpedia

    Thomas Witelski

  35. Interaction of Spiral Waves in the Complex Ginzburg-Landau Equation

    Article • Physical Review Letters, November 2008, American Physical Society (APS)

    Thomas Witelski

  36. Short-time pattern formation in thin film equations

    Article • Discrete and Continuous Dynamical Systems, November 2008, American Institute of Mathematical Sciences (AIMS)

    Thomas Witelski

  37. Large oscillations of beams and columns including self-weight

    Article • International Journal of Non-Linear Mechanics, October 2008, Elsevier

    Thomas Witelski

  38. Nonmonotonic traveling wave solutions of infiltration into porous media

    Article • Water Resources Research, February 2008, American Geophysical Union (AGU)

    Thomas Witelski

  39. Coarsening of unstable thin films subject to gravity

    Article • Physical Review E, January 2008, American Physical Society (APS)

    Thomas Witelski

  40. On Spiking Models for Synaptic Activity and Impulsive Differential Equations

    Article • SIAM Review, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Thomas Witelski

  41. Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves

    Article • European Journal of Applied Mathematics, December 2007, Cambridge University Press

    Thomas Witelski

  42. Boundary-Value Problems for Hyperbolic Equations Related to Steady Granular Flow

    Article • Mathematics and Mechanics of Solids, April 2006, SAGE Publications

    Thomas Witelski

  43. Growing surfactant waves in thin liquid films driven by gravity

    Article • Applied Mathematics Research eXpress, January 2006, Oxford University Press (OUP)

    Thomas Witelski

  44. The Linear Limit of the Dipole Problem for the Thin Film Equation

    Article • SIAM Journal on Applied Mathematics, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Thomas Witelski

  45. Introduction to Practical Asymptotics III

    Article • Journal of Engineering Mathematics, December 2005, Springer Science + Business Media

    Dr Sjoerd W. Rienstra, Thomas Witelski

  46. Lubrication Models with Small to Large Slip Lengths

    Article • Journal of Engineering Mathematics, December 2005, Springer Science + Business Media

    Thomas Witelski

  47. Motion of wetting fronts moving into partially pre-wet soil

    Article • Advances in Water Resources, October 2005, Elsevier

    Thomas Witelski

  48. New Slip Regimes and the Shape of Dewetting Thin Liquid Films

    Article • Physical Review Letters, September 2005, American Physical Society (APS)

    Thomas Witelski

  49. Collision versus collapse of droplets in coarsening of dewetting thin films

    Article • Physica D Nonlinear Phenomena, September 2005, Elsevier

    Thomas Witelski

  50. Localized Marangoni forcing in driven thin films

    Article • Physica D Nonlinear Phenomena, September 2005, Elsevier

    Thomas Witelski

  51. Steady-Profile Fingering Flows in Marangoni Driven Thin Films

    Article • Physical Review Letters, December 2004, American Physical Society (APS)

    Thomas Witelski

  52. Exact solution for the extensional flow of a viscoelastic filament

    Article • European Journal of Applied Mathematics, December 2004, Cambridge University Press

    Thomas Witelski

  53. A theory of pad conditioning for chemical-mechanical polishing

    Article • Journal of Engineering Mathematics, September 2004, Springer Science + Business Media

    Thomas Witelski

  54. Blowup and dissipation in a critical-case unstable thin film equation

    Article • European Journal of Applied Mathematics, April 2004, Cambridge University Press

    Thomas Witelski

  55. STABILITY OF SHEAR BANDS IN AN ELASTOPLASTIC MODEL FOR GRANULAR FLOW: THE ROLE OF DISCRETENESS

    Article • Mathematical Models and Methods in Applied Sciences, November 2003, World Scientific Pub Co Pte Lt

    Thomas Witelski

  56. Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results

    Article • Discrete and Continuous Dynamical Systems - B, August 2003, American Institute of Mathematical Sciences (AIMS)

    Thomas Witelski

  57. ADI schemes for higher-order nonlinear diffusion equations

    Article • Applied Numerical Mathematics, May 2003, Elsevier

    Thomas Witelski

  58. Article • Journal of Engineering Mathematics, January 2003, Springer Science + Business Media

    Thomas Witelski

  59. Linear stability of source-type similarity solutions of the thin film equation

    Article • Applied Mathematics Letters, July 2002, Elsevier

    Thomas Witelski

  60. Computing finite-time singularities in interfacial flows

    Article • January 2002, Springer Science + Business Media

    Thomas Witelski

  61. A discrete model for an ill-posed nonlinear parabolic PDE

    Article • Physica D Nonlinear Phenomena, December 2001, Elsevier

    Thomas Witelski

  62. Dewetting films: bifurcations and concentrations

    Article • Nonlinearity, September 2001, Institute of Physics Publishing

    Thomas Witelski

  63. Symmetry and self-similarity in rupture and pinchoff: a geometric bifurcation

    Article • European Journal of Applied Mathematics, June 2001, Cambridge University Press

    Thomas Witelski

  64. Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity

    Article • Physics of Fluids, May 2001, American Institute of Physics

    Thomas Witelski

  65. Critical wave speeds for a family of scalar reaction-diffusion equations

    Article • Applied Mathematics Letters, January 2001, Elsevier

    Thomas Witelski

  66. Dynamics of three-dimensional thin film rupture

    Article • Physica D Nonlinear Phenomena, December 2000, Elsevier

    Thomas Witelski

  67. Large Bearing Number Stability Analysis for Tango Class Gas Bearing Sliders

    Article • Tribology Transactions, January 1999, Taylor & Francis

    Thomas Witelski

  68. Stability of Gas Bearing Sliders for Large Bearing Number: Convective Instability of the Tapered Slider©

    Article • Tribology Transactions, January 1999, Taylor & Francis

    Thomas Witelski

  69. Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinchoff

    Article • Journal of Statistical Physics, November 1998, Springer Science + Business Media

    Thomas Witelski

  70. On Spherically Symmetric Gravitational Collapse

    Article • Journal of Statistical Physics, November 1998, Springer Science + Business Media

    Thomas Witelski

  71. Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation

    Article • Applied Mathematics Letters, September 1998, Elsevier

    Thomas Witelski

  72. Horizontal infiltration into wet soil

    Article • Water Resources Research, July 1998, American Geophysical Union (AGU)

    Thomas Witelski

  73. Dynamics of air bearing sliders

    Article • Physics of Fluids, March 1998, American Institute of Physics

    Thomas Witelski

  74. Self-similar Asymptotics for Linear and Nonlinear Diffusion Equations

    Article • Studies in Applied Mathematics, February 1998, Wiley

    Thomas Witelski

  75. Similarity solutions of the lubrication equation

    Article • Applied Mathematics Letters, September 1997, Elsevier

    Thomas Witelski

  76. Segregation and mixing in degenerate diffusion in population dynamics

    Article • Journal of Mathematical Biology, June 1997, Springer Science + Business Media

    Thomas Witelski

  77. Article • Transport in Porous Media, January 1997, Springer Science + Business Media

    Thomas Witelski

  78. Perturbed reversible systems

    Article • Physics Letters A, October 1995, Elsevier

    Thomas Witelski

  79. Shocks in nonlinear diffusion

    Article • Applied Mathematics Letters, September 1995, Elsevier

    Thomas Witelski

  80. Merging traveling waves for the porous-Fisher's equation

    Article • Applied Mathematics Letters, July 1995, Elsevier

    Thomas Witelski

  81. Stopping and merging problems for the porous media equation

    Article • IMA Journal of Applied Mathematics, January 1995, Oxford University Press (OUP)

    Thomas Witelski

  82. An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation

    Article • Journal of Mathematical Biology, November 1994, Springer Science + Business Media

    Thomas Witelski