Thomas Peter Witelski

  • Professor in the Department of Mathematics
  • Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
External address: 295 Physics Bldg, Box 90320, Durham, NC 27708-0320
Internal office address: Box 90320, Durham, NC 27708-0320
Phone: (919) 660-2841
Office Hours: 

Mondays 10:00am-noon and Tuesdays noon-2:30pm

Research Areas and Keywords

Analysis
perturbation methods
Computational Mathematics
numerical partial differential equations
PDE & Dynamical Systems
fluid dynamics, nonlinear partial differential equations, dynamical systems, perturbation methods
Physical Modeling
fluid dynamics

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.

Education & Training
  • Ph.D., California Institute of Technology 1995

  • B.S.E., Cooper Union 1991

Witelski, TP, and Rienstra, SW. "Introduction to practical asymptotics III." Journal of Engineering Mathematics 53.3-4 (2005): 199--. Full Text

Witelski, TP. "Motion of wetting fronts moving into partially pre-wet soil." Advances in Water Resources 28.10 SPEC. ISS. (2005): 1133-1141. Full Text

Münch, A, Wagner, B, and Witelski, TP. "Lubrication models with small to large slip lengths." Journal of Engineering Mathematics 53.3-4 (2005): 359-383. Full Text

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

Merdan, H, and Caginalp, G. "Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results." Discrete and Continuous Dynamical Systems - Series B 3.4 (August 2003): 565-588. 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-.

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