Thomas Peter Witelski
- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
Mondays 10:00am-noon and Tuesdays noon-2:30pm
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.
Brenner, MP, and Witelski, TP. "On spherically symmetric gravitational collapse." Journal of Statistical Physics 93.3-4 (1998): 863-899.
Bernoff, AJ, Bertozzi, AL, and Witelski, TP. "Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff." Journal of Statistical Physics 93.3-4 (1998): 725-776.
Witelski, TP. "Similarity solutions of the lubrication equation." Applied Mathematics Letters 10.5 (1997): 107-113.
Witelski, TP. "Perturbation Analysis for Wetting Fronts in Richards' Equation." Transport in Porous Media 27.2 (1997): 121-134.
Witelski, TP. "Segregation and mixing in degenerate diffusion in population dynamics." Journal of Mathematical Biology 35.6 (1997): 695-712.
Cohen, DS, and Witelski, TP. "Inaccessible states in time-dependent reaction diffusion." Studies in Applied Mathematics 97.4 (1996): 301-319.
Witelski, TP. "Traveling wave solutions for case II diffusion in polymers." Journal of Polymer Science, Part B: Polymer Physics 34.1 (1996): 141-150.
Witelski, TP. "The structure of internal layers for unstable nonlinear diffusion equations." Studies in Applied Mathematics 97.3 (1996): 277-300.
WITELSKI, TP, and COHEN, DS. "FORBIDDEN REGIONS FOR SHOCK FORMATION IN DIFFUSIVE SYSTEMS." STUDIES IN APPLIED MATHEMATICS 95.3 (October 1995): 297-317.
Witelski, TP. "Stopping and merging problems for the porous media equation." IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 54.3 (1995): 227-243. Full Text