Thomas P. Witelski

Thomas P. Witelski
  • Professor in the Department of Mathematics
  • Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
External address: 295 Physics Bldg, Box 90320, Durham, NC 27708-0320
Internal office address: Box 90320, Durham, NC 27708-0320
Phone: (919) 660-2841

Research Areas and Keywords

Analysis
perturbation methods
Computational Mathematics
numerical partial differential equations
PDE & Dynamical Systems
fluid dynamics, nonlinear partial differential equations, dynamical systems, perturbation methods
Physical Modeling
fluid dynamics

My primary area of expertise is the solution of nonlinear ordinary and partial differential equations for models of physical systems. Using asymptotics along with a mixture of other applied mathematical techniques in analysis and scientific computing I study a broad range of applications in engineering and applied science. Focuses of my work include problems in viscous fluid flow, dynamical systems, and industrial applications. Approaches for mathematical modelling to formulate reduced systems of mathematical equations corresponding to the physical problems is another significant component of my work.

Education & Training
  • Ph.D., California Institute of Technology 1995

  • B.S.E., Cooper Union 1991

Glasner, K. B., and T. P. Witelski. “Collision versus collapse of droplets in coarsening of dewetting thin films.” Physica D: Nonlinear Phenomena, vol. 209, no. 1-4 SPEC. ISS., Sept. 2005, pp. 80–104. Scopus, doi:10.1016/j.physd.2005.06.010. Full Text

Fetzer, R., et al. “New slip regimes and the shape of dewetting thin liquid films..” Physical Review Letters, vol. 95, no. 12, Sept. 2005. Epmc, doi:10.1103/physrevlett.95.127801. Full Text

Witelski, T. P. “Motion of wetting fronts moving into partially pre-wet soil.” Advances in Water Resources, vol. 28, no. 10 SPEC. ISS., Jan. 2005, pp. 1133–41. Scopus, doi:10.1016/j.advwatres.2004.06.006. Full Text

Sur, Jeanman, et al. “Steady-profile fingering flows in Marangoni driven thin films..” Physical Review Letters, vol. 93, no. 24, Dec. 2004. Epmc, doi:10.1103/physrevlett.93.247803. Full Text

Borucki, L. J., et al. “A theory of pad conditioning for chemical-mechanical polishing.” Journal of Engineering Mathematics, vol. 50, no. 1, Dec. 2004, pp. 1–24. Scopus, doi:10.1023/B:ENGI.0000042116.09084.00. Full Text

Smolka, L. B., et al. “Exact solution for the extensional flow of a viscoelastic filament.” European Journal of Applied Mathematics, vol. 15, no. 6, Dec. 2004, pp. 679–712. Scopus, doi:10.1017/S0956792504005789. Full Text

Witelski, T. P., et al. “Blowup and dissipation in a critical-case unstable thin film equation.” European Journal of Applied Mathematics, vol. 15, no. 2, Apr. 2004, pp. 223–56. Scopus, doi:10.1017/S0956792504005418. Full Text

Witelski, T. P. “Nonlinear Differential Equations, Mechanics and Bifurcation.” Discrete and Continuous Dynamical Systems  Series B, vol. 3, no. 4, Nov. 2003.

Shearer, M., et al. “Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness.” Mathematical Models and Methods in Applied Sciences, vol. 13, no. 11, Nov. 2003, pp. 1629–71. Scopus, doi:10.1142/S0218202503003069. Full Text

Witelski, T. P., and M. Bowen. “ADI schemes for higher-order nonlinear diffusion equations.” Applied Numerical Mathematics, vol. 45, no. 2–3, May 2003, pp. 331–51. Scopus, doi:10.1016/S0168-9274(02)00194-0. Full Text

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