Thomas Peter 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.
Sur, J, Witelski, TP, and Behringer, RP. "Steady-profile fingering flows in Marangoni driven thin films." Phys Rev Lett 93.24 (December 10, 2004): 247803-. Full Text
Witelski, TP, Bernoff, AJ, and Bertozzi, AL. "Blowup and dissipation in a critical-case unstable thin film equation." European Journal of Applied Mathematics 15.2 (2004): 223-256. Full Text
Borucki, LJ, Witelski, T, Please, C, Kramer, PR, and Schwendeman, D. "A theory of pad conditioning for chemical-mechanical polishing." Journal of Engineering Mathematics 50.1 (2004): 1-24. Full Text
Smolka, LB, Belmonte, A, Henderson, DM, and Witelski, TP. "Exact solution for the extensional flow of a viscoelastic filament." European Journal of Applied Mathematics 15.6 (2004): 679-712. Full Text
Witelski, TP. "Intermediate asymptotics for Richards' equation in a finite layer." Journal of Engineering Mathematics 45.3-4 (2003): 379-399. Full Text
Witelski, TP, and Bowen, M. "ADI schemes for higher-order nonlinear diffusion equations." Applied Numerical Mathematics 45.2-3 (2003): 331-351. Full Text
Schaeffer, DG, Shearer, M, and Witelski, T. "One-dimensional solutions of an elastoplasticity model of granular material." Math. Models and Methods in Appl. Sciences 13 (2003): 1629-1671. (Academic Article)
Witelski, TP. "Nonlinear Differential Equations, Mechanics and Bifurcation." Discrete and Continuous Dynamical Systems - Series B 3.4 (2003): i-.
Shearer, M, Schaeffer, DG, and Witelski, TP. "Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness." Mathematical Models and Methods in Applied Sciences 13.11 (2003): 1629-1671. Full Text