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.
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-.
Bernoff, AJ, and Witelski, TP. "Linear stability of source-type similarity solutions of the thin film equation." Applied Mathematics Letters 15.5 (2002): 599-606.
Bertozzi, AL, Grün, G, and Witelski, TP. "Dewetting films: Bifurcations and concentrations." Nonlinearity 14.6 (2001): 1569-1592. Full Text
Vaynblat, D, Lister, JR, and Witelski, TP. "Rupture of thin viscous films by van der waals forces: Evolution and self-similarity." Physics of Fluids 13.5 (2001): 1130-1141. Full Text
Witelski, TP, Schaeffer, DG, and Shearer, M. "A discrete model for an ill-posed nonlinear parabolic PDE." Physica D: Nonlinear Phenomena 160.3-4 (2001): 189-221. Full Text
Vaynblat, D, Lister, JR, and Witelski, TP. "Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation." European Journal of Applied Mathematics 12.3 (2001): 209-232. Full Text
Witelski, TP, Ono, K, and Kaper, TJ. "Critical wave speeds for a family of scalar reaction-diffusion equations." Applied Mathematics Letters 14.1 (2001): 65-73. Full Text
Witelski, TP, and Bernoff, AJ. "Dynamics of three-dimensional thin film rupture." Physica D: Nonlinear Phenomena 147.1-2 (2000): 155-176. Full Text
Witelski, TP, and Bernoff, AJ. "Stability of self-similar solutions for van der Waals driven thin film rupture." PHYSICS OF FLUIDS 11.9 (September 1999): 2443-2445. Full Text