Applied Math

Duke Applied Mathematics



Publications of Thomas P. Witelski    :recent first  alphabetical  combined  bibtex listing:

Papers Published

  1. 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]
  2. Thomas P Witelski, Shocks in nonlinear diffusion, Applied Mathematics Letters, 8, 5, pp. 27-32, (1995) [gz]
  3. D. S. Cohen, Thomas P Witelski, Perturbed Reversible Systems, Physics Letters A, 207, pp. 83-86, (1995)
  4. D. S. Cohen, Thomas P Witelski, Forbidden regions for shock formation in diffusive systems, Studies in Applied Mathematics, 95, pp. 297-317, (1995) [gz]
  5. Thomas P Witelski, Merging traveling waves for the pouous-Fisher's equation, Applied Mathematics Letters, 8, 4, pp. 57-62, (1995) [gz]
  6. Thomas P Witelski, Stopping and merging problems for the porous media equation, IMA Journal of Applied Mathematics, 54, pp. 227-243, (1995) [gz]
  7. 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]
  8. D. S. Cohen, Thomas P Witelski, Inaccessible states in time-dependent reaction-diffusive systems, Studies in Applied Mathematics, 97, pp. 301-319, (1996) [gz]
  9. Thomas P Witelski, The structure of internal layers for unstable nonlinear diffusion equations, Studies in Applied Mathematics, 96, pp. 277-300, (1996) [gz]
  10. 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]
  11. 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)
  12. Thomas P Witelski, Segregation and Mixing in degenerate diffusion in population dynamics, Journal of Mathematical Biology, 35, pp. 695-712, (1997) [gz]
  13. Thomas P Witelski, Similarity solutions of the lubrication equation, Applied Mathematics Letters, 10, 5, pp. 107-113, (1997) [gz]
  14. Thomas P Witelski, Perturbation analysis for wetting fronts in Richards' equation, Transport in Porous Media, 27, pp. 121-134, (1997) [gz]
  15. Thomas P Witelski, Dynamics of air bearing sliders, Physics of Fluids, 10, 3, (1998), pp. 698-708 [getabs]  [abs]
  16. Thomas P Witelski, Horizontal infiltration into wet soil, Water Resources Research, 34, 7, pp. 216-222 (1998) [gz]
  17. 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]
  18. 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]
  19. 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]
  20. M. P. Brenner, Thomas P Witelski, On spherically symmetric gravitational collapse, Journal of Statistical Physics, 93, 3/4, pp. 863-900, (1998) [gz]
  21. Thomas P Witelski, Equilibrium solutions of a degenerate singular Cahn-Hilliard equation, Applied Mathematics Letters, 11, 5, pp. 127-133, (1998) [gz]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. 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]
  31. A. L. Bertozzi, G. Grun, Thomas P. Witelski, Dewetting films: bifurcations and concentrations, Nonlinearity, 14 (2001) pp 1569--1592  [abs]
  32. 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]
  33. 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]
  34. Ferdinand Hendriks, Thomas P. Witelski, et al, Shape optimization of pressurized air bearings, Proceedings 2001 Workshop on Mathematical Problems in Industry, RPI  [abs]
  35. 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]
  36. T. Witelski, P. Ng, J. Ying, J. Jundy, J. Bove, An application of pattern recognition and infrared spectroscopy to water analysis, International Journal of Environmental Analytical Chemistry, vol. 44 no. 2 (1991), pp. 127-136, ISSN 0306-7319
  37. Karl B. Glasner and Thomas P. Witelski, Coarsening dynamics of dewetting films, Physical Review E, vol. 67 (2003), pp. 016302 [GetabsServlet]  [abs]
  38. 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]
  39. 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]
  40. 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]
  41. 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]
  42. 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]
  43. 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]
  44. 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]
  45. 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]
  46. 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 [006]
  47. 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]
  48. 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]
  49. 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 [PhysRevLett.95.127801]
  50. 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]
  51. 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]
  52. 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 [050637832]
  53. 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 [15487]
  54. 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 [S0956792507007218]
  55. 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 [1081286506067325]
  56. 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]
  57. A.J. Catlla, D.G. Schaeffer, T.P. Witelski, E. E. Monson, A. L. Lin, On spiking models for synaptic activity and impulsive differential equations, SIAM Review, vol. 50 no. 3 (2008), pp. 553-569 [553]
  58. S. T. Santillian, R. H. Plaut, T. P. Witelski, L. N. Virgin, Large oscillations of beams and columns including self-weight, International Journal of Nonlinear mechanics, vol. 43 no. 8 (2008), pp. 761-771, ISSN 0020-7462 [007]
  59. M. Aguareles, S. J. Chapman, T.P. Witelski, Interaction of spiral waves in the Complex Ginzburg-Landau equation, Physical Review Letters, vol. 101 no. 224101 (2008) (doi:10.1103/PhysRevLett.101.224101.) [e224101]
  60. DiCarlo DA, Juanes R, LaForce T, Witelski TP, Nonmonotonic traveling wave solutions of infiltration into porous media, Water Resources Research, vol. 44 no. 2 (February, 2008), pp. W02406, ISSN 0043-1397 [2007WR005975]
  61. T.P. Witelski and M. Bowen, Singular perturbation theory, Scholarpedia, vol. 4 no. 4 (2009), pp. 3951 [Singular_perturbation_theory]
  62. M. B. Gratton and T.P. Witelski, Transient and self-similar dynamics in thin film coarsening, Physica D, vol. 238 no. 23-24 (2009), pp. 2380-2394 [015]
  63. L. B. Smolka and T. P. Witelski, On the planar extensional motion of an inertially driven liquid sheet, Physics of Fluids, vol. 21 no. 4 (2009), pp. 042101 [042101]
  64. H.-J. Hwang and T.P. Witelski, Short-time Pattern formation in thin film equations, Discrete and Continuous Dynamical Systems A, vol. 23 no. 3 (March, 2009), pp. 867-885, ISSN 1078-0947 (doi: 10.3934/dcds.2009.23.867.) [displayArticles.jsp]
  65. T.P. Witelski, The subtle art of blowing bubbles (News and Views: Fluid Dynamics), Nature Physics, vol. 5 (May, 2009), pp. 315-316 (doi:10.1038/nphys1265.) [=NDgyMTgzMzQS1&mt=1&rt=0]
  66. A.J.Bernoff and T.P. Witelski, Stability and dynamics of self-similarity in evolution equations, Journal of Engineering Mathematics, vol. 66 no. 1-3 (March, 2010), pp. 11-31, ISSN 1573-2703 [s10665-009-9309-8]
  67. M. Aguareles, S. J. Chapman, T. Witelski, Motion of spiral waves in the complex Ginzburg–Landau equation, Physica D, vol. 239 no. 7 (April, 2010), pp. 348-365 [003]
  68. C. Breward, E. Aydemir, T.P. Witelski, The effect of polar lipids on tear film dynamics, Bulletin of Mathematical Biology, vol. 73 (2011), pp. 1171-1201 [doi]
  69. R. Wiebe, L.N. Virgin, T. P. Witelski, A parametrically forced nonlinear system with reversible equilibria, International Journal of Bifurcation and Chaos, vol. 22 no. 6 (2012), pp. 1230020 [doi]
  70. Y. Huang, T.P. Witelski, A. L. Bertozzi, Anomalous exponents of self-similar blowup solutions to an aggregation equation in odd dimensions, Applied Mathematics Letters, vol. 25 no. 12 (2012), pp. 2317-2321 [doi]
  71. T.P. Witelski, D. Ambrose, A. Bertozzi, A. Layton, ZL. Li, M. Minion, Preface: special issue on fluid dynamics, analysis and numerics, Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4 (June, 2012), pp. i-ii
  72. S.J.Chapman, P.H.Trinh and T.P. Witelski, Exponential asymptotics for thin film rupture, SIAM Journal on Applied Mathematics, vol. 73 no. 1 (2013), pp. 232-253 [120872012], [doi]
  73. L.B.Smolka and T.P. Witelski, Biaxial extensional motion of an inertially driven radially-expanding liquid sheet, Physics of Fluids, vol. 25 no. 062105 (2013) [doi]
  74. N.S. Hall Taylor, I.J. Hewitt, J.R. Ockendon, T.P. Witelski, A new model for disturbance waves, International Journal of Multiphase Flow, vol. 66 (2014), pp. 38-45 [doi]
  75. T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol. 333 no. 6 (March, 2014), pp. 1734-1753 [doi]

Duke University * Arts & Sciences * Mathematics * December 19, 2014

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