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

Research Areas and Keywords

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

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, 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

Witelski, TP. "Large bearing number stability analysis for tango class gas bearing sliders©." Tribology Transactions 42.3 (1999): 668-674.

Witelski, TP, and Hendriks, F. "Stability of gas bearing sliders for large bearing number: Convective instability of the tapered slider." Tribology Transactions 42.1 (1999): 216-222.

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.