Thomas P. Witelski
- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
Research Areas and Keywords
PDE & Dynamical Systems
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.
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