Thomas P. Witelski

Articles in Scholarly Journals [Incomplete List]

  1. Introduction to Practical Asymptotics III
    Journal of Engineering Mathematics, vol. 53, no. 3-4, pp. 199–199, 2006
  2. Lubrication Models with Small to Large Slip Lengths
    Journal of Engineering Mathematics, vol. 53, no. 3-4, pp. 359–383, 2006
  3. Growing surfactant waves in thin liquid films driven by gravity
    Applied Mathematics Research eXpress, vol. 2006, Article ID 15487, 21 pages, 2006
  4. The Linear Limit of the Dipole Problem for the Thin Film Equation
    SIAM Journal on Applied Mathematics, vol. 66, no. 5, p. 1727, 2006
  5. New Slip Regimes and the Shape of Dewetting Thin Liquid Films
    Physical Review Letters, vol. 95, no. 12, 2005
  6. Motion of wetting fronts moving into partially pre-wet soil
    Advances in Water Resources, vol. 28, no. 10, pp. 1133–1141, 2005
  7. Localized Marangoni forcing in driven thin films
    Physica D: Nonlinear Phenomena, vol. 209, no. 1-4, pp. 117–134, 2005
  8. Collision versus collapse of droplets in coarsening of dewetting thin films
    Physica D: Nonlinear Phenomena, vol. 209, no. 1-4, pp. 80–104, 2005
  9. A theory of pad conditioning for chemical-mechanical polishing
    Journal of Engineering Mathematics, vol. 50, no. 1, pp. 1–24, 2004
  10. Blowup and dissipation in a critical-case unstable thin film equation
    European Journal of Applied Mathematics, vol. 15, no. 2, pp. 223–256, 2004
  11. Exact solution for the extensional flow of a viscoelastic filament
    European Journal of Applied Mathematics, vol. 15, no. 6, pp. 679–712, 2004
  12. Steady-Profile Fingering Flows in Marangoni Driven Thin Films
    Physical Review Letters, vol. 93, no. 24, 2004
  13. Coarsening dynamics of dewetting films
    Physical Review E, vol. 67, no. 1, 2003
  14. Journal of Engineering Mathematics, vol. 45, no. 3/4, pp. 379–399, 2003
  15. Mathematical Models and Methods in Applied Sciences, vol. 13, no. 11, p. 1629, 2003
  16. ADI schemes for higher-order nonlinear diffusion equations
    Applied Numerical Mathematics, vol. 45, no. 2-3, pp. 331–351, 2003
  17. Linear stability of source-type similarity solutions of the thin film equation
    Applied Mathematics Letters, vol. 15, no. 5, pp. 599–606, 2002
  18. Nonlinearity, vol. 14, no. 6, pp. 1569–1592, 2001
  19. Symmetry and self-similarity in rupture and pinchoff: a geometric bifurcation
    European Journal of Applied Mathematics, vol. 12, no. 3, pp. 209–232, 2001
  20. Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity
    Physics of Fluids, vol. 13, no. 5, p. 1130, 2001
  21. A discrete model for an ill-posed nonlinear parabolic PDE
    Physica D Nonlinear Phenomena, vol. 160, no. 3-4, pp. 189–221, 2001
  22. Critical wave speeds for a family of scalar reaction-diffusion equations
    Applied Mathematics Letters, vol. 14, no. 1, pp. 65–73, 2001
  23. Dynamics of three-dimensional thin film rupture
    Physica D: Nonlinear Phenomena, vol. 147, no. 1-2, pp. 155–176, 2000
  24. Large Bearing Number Stability Analysis for Tango Class Gas Bearing Sliders
    Tribology Transactions, vol. 42, no. 3, pp. 668–674, 1999
  25. Stability of Gas Bearing Sliders for Large Bearing Number: Convective Instability of the Tapered Slider©
    Tribology Transactions, vol. 42, no. 1, pp. 216–222, 1999
  26. Stability of self-similar solutions for van der Waals driven thin film rupture
    Physics of Fluids, vol. 11, no. 9, p. 2443, 1999
  27. Horizontal infiltration into wet soil
    Water Resources Research, vol. 34, no. 7, pp. 1859–1863, 1998
  28. Dynamics of air bearing sliders
    Physics of Fluids, vol. 10, no. 3, p. 698, 1998
  29. Self-similar Asymptotics for Linear and Nonlinear Diffusion Equations
    Studies in Applied Mathematics, vol. 100, no. 2, pp. 153–193, 1998
  30. Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation
    Applied Mathematics Letters, vol. 11, no. 5, pp. 127–133, 1998
  31. On Spherically Symmetric Gravitational Collapse
    Journal of Statistical Physics, vol. 93, no. 3/4, pp. 863–899, 1998
  32. Axisymmetric Surface Diffusion: Dynamics and Stability of Self-Similar Pinchoff
    Journal of Statistical Physics, vol. 93, no. 3/4, pp. 725–776, 1998
  33. On the properties of polymer globules in the high density limit
    The Journal of Chemical Physics, vol. 108, no. 21, p. 9144, 1998
  34. Transport in Porous Media, vol. 27, no. 2, pp. 121–134, 1997
  35. Segregation and mixing in degenerate diffusion in population dynamics
    Journal of Mathematical Biology, vol. 35, no. 6, pp. 695–712, 1997
  36. Similarity solutions of the lubrication equation
    Applied Mathematics Letters, vol. 10, no. 5, pp. 107–113, 1997
  37. Traveling wave solutions for case II diffusion in polymers
    Journal of Polymer Science Part B: Polymer Physics, vol. 34, no. 1, pp. 141–150, 1996
  38. Stopping and merging problems for the porous media equation
    IMA Journal of Applied Mathematics, vol. 54, no. 3, pp. 227–243, 1995
  39. Shocks in nonlinear diffusion
    Applied Mathematics Letters, vol. 8, no. 5, pp. 27–32, 1995
  40. Merging traveling waves for the porous-Fisher's equation
    Applied Mathematics Letters, vol. 8, no. 4, pp. 57–62, 1995
  41. Perturbed reversible systems
    Physics Letters A, vol. 207, no. 1-2, pp. 83–86, 1995
  42. SIAM Journal on Applied Mathematics, vol. 55, no. 2, Article ID 0155020, 1995
  43. An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation
    Journal of Mathematical Biology, vol. 33, no. 1, pp. 1–16, 1994