# 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

##### Computational Mathematics

##### PDE & Dynamical Systems

##### Physical Modeling

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-.

Shearer, M, Schaeffer, DG, and Witelski, TP. "Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness." *Mathematical Models and Methods in Applied Sciences* 13.11 (2003): 1629-1671.
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Glasner, KB, and Witelski, TP. "Coarsening dynamics of dewetting films." *Physical Review E - Statistical, Nonlinear, and Soft Matter Physics* 67.1 2 (2003): 163021-1630212.

Glasner, KB, and Witelski, TP. "Coarsening dynamics of dewetting films." *Phys Rev E Stat Nonlin Soft Matter Phys* 67.1 Pt 2 (January 2003): 016302-.
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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.
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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.
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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.
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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.
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