# 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

##### 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.

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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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.
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Witelski, TP, and Bernoff, AJ. "Dynamics of three-dimensional thin film rupture." *Physica D: Nonlinear Phenomena* 147.1-2 (2000): 155-176.
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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.
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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.