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.
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. "Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation." Applied Mathematics Letters 11.5 (1998): 127-133.
Witelski, TP. "Horizontal infiltration into wet soil." Water Resources Research 34.7 (1998): 1859-1863.
Witelski, TP, Grosberg, AY, and Tanaka, T. "On the properties of polymer globules in the high density limit." Journal of Chemical Physics 108.21 (1998): 9144-9149.
Witelski, TP. "Dynamics of air bearing sliders." Physics of Fluids 10.3 (1998): 698-708.
Witelski, TP, and Bernoff, AJ. "Self-similar asymptotics for linear and nonlinear diffusion equations." Studies in Applied Mathematics 100.2 (1998): 153-193.
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.