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Publications of Thomas P Witelski     :chronological  combined  bibtex listing:

Papers Published

  1. M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity, Physical Review E, vol. 77 no. 016301 (2008), pp. 1--11 [e016301]
  2. David G. Schaeffer, Michael Shearer and T.P. Witelski, Boundary-value problems for hyperbolic PDE related to steady granular flow, Mathematics and Mechanics of Solids, vol. 12 no. 6 (2007), pp. 665-699 (DOI: 10.1177/1081286506067325.)
  3. R. Levy,M. Shearer and T.P. Witelski, Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves, European Journal of Applied Mathematics, vol. 18 no. 6 (2006), pp. 679--708
  4. T.P. Witelski, R. Levy and M. Shearer, Growing surfactant waves in thin liquid films driven by gravity, Applied Mathematics Research Express, vol. 2006 no. 15487 (2006), pp. 1-21
  5. Mark Bowen and Thomas P. Witelski, The linear limit of the dipole problem for the thin film equation, SIAM journal on applied mathematics, vol. 66 no. 5 (2006), pp. 1727--1748
  6. A. Munch and B. Wagner and T.P. Witelski, Lubrication models with small to large slip lengths, Journal of Engineering Mathematics, vol. 53 no. 3-4 (December, 2005), pp. 259-283 [contribution.asp]
  7. T.P. Witelski and S.W. Rienstra, Introduction to Practical Asymptotics III, Journal of Engineering Mathematics, vol. 53 no. 3-4 (December, 2005), pp. 199-199 [contribution.asp]  [abs]
  8. R. Fetzer, K. Jacobs, A.Munch, B. Wagner, T.P. Witelski, New slip regimes and the shape of dewetting thin liquid films, Physical Review Letters, vol. 95 no. 12 (September, 2005), pp. 127801
  9. R. P. Haskett, T. P. Witelski, and J. Sur, Localized Marangoni forcing in driven thin films, Physica D, vol. 209 no. 1-4 (September, 2005), pp. 117-134 [019]
  10. K. B. Glasner and T.P. Witelski, Collision vs. collapse of droplets in coarsening of dewetting thin films, Physica D, vol. 209 no. 1-4 (September, 2005), pp. 80-104 [010]
  11. L. B. Smolka and A. Belmonte and D. M. Henderson and T.P. Witelski, Exact solution for the extensional flow of a viscoelastic filament, European Journal of Applied Mathematics, vol. 15 no. 6 (2005), pp. 679-712  [abs]
  12. T.P. Witelski, Motion of wetting fronts moving into partially pre-wet soil, Advances in Water Resources, vol. 28 no. 10 (2005), pp. 1133-1141
  13. Jeanman Sur and T. P. Witelski and R. P. Behringer, Steady-Profile Fingering Flows in Marangoni Driven Thin Films, Physical Review Letters, vol. 93 no. 24 (December 10, 2004), pp. 7803 [e247803]
  14. L. J. Borucki, Thomas P. Witelski, C. P. Please, P. Kramer, D. Schwendeman, A theory of pad conditioning for chemical-mechanical polishing, Journal of Engineering Mathematics, vol. 50 no. 1 (September, 2004), pp. 1-24 [issues.aspx]  [abs]
  15. Thomas P. Witelski and Andrew J. Bernoff and Andrea L. Bertozzi, Blowup and dissipation in a critical-case unstable thin film equation, European Journal of Applied Mathematics, vol. 15 no. 2 (April, 2004), pp. 223-256  [abs]
  16. T.P. Witelski (guest editor), Nonlinear Differential Equations, Mechanics and Bifurcation, Discrete and Continuous Dynamical Systems: Series B, vol. 3 no. 4 (November, 2003) (A special issue dedicated to David G. Schaeffer's 60th birthday.) [htm]
  17. D. G. Schaeffer, M. Shearer, and Thomas P. Witelski, One-dimensional solutions in an elastoplasticity model of granular materials, Mathematical Models and Methods in Applied Sciences, vol. 13 no. 11 (November, 2003), pp. 1629-1671 [html]  [abs]
  18. Karl B. Glasner and Thomas P. Witelski, Coarsening dynamics of dewetting films, Physical Review E, vol. 67 (2003), pp. 016302 [GetabsServlet]  [abs]
  19. Thomas P. Witelski, Intermediate asymptotics for Richards' equation in a finite layer, Journal of Engineering Mathematics, vol. 45 no. 3-4 (2003), pp. 379-399 [A:1022609020200]  [abs]
  20. Thomas P. Witelski and M. Bowen, ADI schemes for fourth-order nonlinear diffusion equations, Applied Numerical Mathematics, vol. 45 no. 2-3 (2003), pp. 331-351 [S0168-9274(02)00194-0]  [abs]
  21. Thomas P. Witelski, Computing finite-time singularities in interfacial flows, Modern Methods in Scientific Computing and Applications (NATO ASI series II proceedings, volume 75), 2002, pp. 451-487. [1-4020-0782-5]  [abs]
  22. Ferdinand Hendriks, Thomas P. Witelski, et al, Shape optimization of pressurized air bearings, Proceedings 2001 Workshop on Mathematical Problems in Industry, RPI  [abs]
  23. A. J. Bernoff and Thomas P. Witelski, Linear stability of source-type similarity solutions of the thin film equation, Applied Mathematics Letters 18 (2002) pp. 599--606.  [abs]
  24. Thomas P. Witelski, D. G. Schaeffer, and M. Shearer, A Discrete Model for an Ill-posed Nonlinear Parabolic PDE, Physica D, 160 (2001) pp. 189--221. [S0167-2789(01)00350-5]  [abs]
  25. A. L. Bertozzi, G. Grun, Thomas P. Witelski, Dewetting films: bifurcations and concentrations, Nonlinearity, 14 (2001) pp 1569--1592  [abs]
  26. D. Vaynblat, J. R. Lister and Thomas P. Witelski, Symmetry and self-similarity in rupture and pinchoff:A geometric bifurcation, European Journal of Applied Mathematics (2001) 12, 3, pp. 209-232.  [abs]
  27. D. Vaynblat, J. R. Lister and Thomas P. Witelski, Rupture of Thin Viscous Films by van der Waals Forces: Evolution and Self-similarity, Physics of Fluids 13, 5 (2001) 1130-1140. [GetabsServlet]  [abs]
  28. Thomas P. Witelski, K. Ono, T. J. Kaper, Analysis of the critical wave speeds of scalar reaction-diffusion equations, Applied Math Letters, 14/1 (2000) pp. 65-73. [ps]  [abs]
  29. Thomas P. Witelski and A. J. Bernoff, Three-dimensional van der Waals driven thin film rupture, Physica D, 147 (1-2), pp. 155--176, (2000). [science]  [abs]
  30. Thomas P. Witelski, K. Ono, T. J. Kaper, On Axi-symmetric Traveling waves and Radial solutions of semi-linear elliptic equations, Natural Resource Modeling 13, 3, 2000, pp. 339-387 [ps]  [abs]
  31. Thomas P. Witelski and Andrew J. Bernoff, Stability of self-similar solutions for van der Waals driven thin film rupture, Physics of Fluids, 11,9, (1999), pp. 2443-2445 [getabs]  [abs]
  32. F. Hendriks, Thomas P. Witelski, et al, Design of planar coils of minimum resistance for magnetic recording devices, Proceedings of the Workshop on Mathematical Problems in Industry, University of Delaware, 1999 [gz]
  33. Thomas P Witelski, F. Hendriks, Stability of Gas Bearing Sliders for Large Bearing Number: Convective Instability of the Tapered slider, Tribology Transactions, 42, 1, pp. 216-222, (1999) [ps]  [abs]
  34. Thomas P. Witelski, F. Hendriks, Large Bearing Number Stability Analysis for Tango Class Gas Bearing Sliders, Tribology Transactions, 42 (3), pp. 668-674 (1999) [ps]  [abs]
  35. Thomas P Witelski, Dynamics of air bearing sliders, Physics of Fluids, 10, 3, (1998), pp. 698-708 [getabs]  [abs]
  36. Thomas P Witelski, Horizontal infiltration into wet soil, Water Resources Research, 34, 7, pp. 216-222 (1998) [gz]
  37. Thomas P. Witelski and A. J. Bernoff, Self-similar asymptotics for linear and nonlinear diffusion equations, Studies in Applied Mathematics, 100, pp. 153-193, (1998) [gz]
  38. A. Y. Grosberg, T. Tanaka, Thomas P Witelski, On the properties of polymer globules in the high-density limit, Journal of Chemical Physics, 108, 21, pp. 9144-9149, (1998) [getabs]
  39. A. J. Bernoff, A. L. Bertozzi, Thomas P Witelski, Axisymmetric surface diffusion: dynamics and stability of self-similar pinch-off, Journal of Statistical Physics, 93, 3/4, pp. 725-776, (1998) [gz]
  40. M. P. Brenner, Thomas P Witelski, On spherically symmetric gravitational collapse, Journal of Statistical Physics, 93, 3/4, pp. 863-900, (1998) [gz]
  41. Thomas P Witelski, Equilibrium solutions of a degenerate singular Cahn-Hilliard equation, Applied Mathematics Letters, 11, 5, pp. 127-133, (1998) [gz]
  42. W. L. Hogarth, J. Y. Parlange, Thomas P Witelski, The superposition principle for infiltration with power law diffusivity, Hydrology Days - Proceedings of the 17th Annual American Geophysical Union, pp. 365-374 (1997)
  43. Thomas P Witelski, Segregation and Mixing in degenerate diffusion in population dynamics, Journal of Mathematical Biology, 35, pp. 695-712, (1997) [gz]
  44. Thomas P Witelski, Similarity solutions of the lubrication equation, Applied Mathematics Letters, 10, 5, pp. 107-113, (1997) [gz]
  45. Thomas P Witelski, Perturbation analysis for wetting fronts in Richards' equation, Transport in Porous Media, 27, pp. 121-134, (1997) [gz]
  46. D. S. Cohen, Thomas P Witelski, Inaccessible states in time-dependent reaction-diffusive systems, Studies in Applied Mathematics, 97, pp. 301-319, (1996) [gz]
  47. Thomas P Witelski, The structure of internal layers for unstable nonlinear diffusion equations, Studies in Applied Mathematics, 96, pp. 277-300, (1996) [gz]
  48. Thomas P Witelski, Traveling wave solutions for Case II diffusion in polymers, Journal of Polymer Science B: Polymer Physics, 34, pp. 141-150, (1996) [gz]
  49. Thomas P Witelski, Shocks in nonlinear diffusion, Applied Mathematics Letters, 8, 5, pp. 27-32, (1995) [gz]
  50. D. S. Cohen, Thomas P Witelski, Perturbed Reversible Systems, Physics Letters A, 207, pp. 83-86, (1995)
  51. D. S. Cohen, Thomas P Witelski, Forbidden regions for shock formation in diffusive systems, Studies in Applied Mathematics, 95, pp. 297-317, (1995) [gz]
  52. Thomas P Witelski, Merging traveling waves for the pouous-Fisher's equation, Applied Mathematics Letters, 8, 4, pp. 57-62, (1995) [gz]
  53. Thomas P Witelski, Stopping and merging problems for the porous media equation, IMA Journal of Applied Mathematics, 54, pp. 227-243, (1995) [gz]
  54. D. S. Cohen, A. B. White Jr, Thomas P Witelski, Shock formation in a multidimensional viscoelastic diffusive system, SIAM Journal on Applied Mathematics, 55, 2, pp. 348-368, (1995) [gz]
  55. Thomas P Witelski, An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation, Journal of Mathematical Biology, 33, pp. 1-16, (1994) [gz]  [abs]

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