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. "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.

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.

Cohen, DS, and Witelski, TP. "Inaccessible states in time-dependent reaction diffusion." Studies in Applied Mathematics 97.4 (1996): 301-319.

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, and Cohen, DS. "Perturbed reversible systems." Physics Letters A 207.1-2 (1995): 83-86.

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