# 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.

Gratton, MB, and Witelski, TP. "Coarsening of dewetting thin films subject to gravity." *Physical Review E* 77.016301 (2008): 1-11. (Academic Article)

Aguareles, M, Chapman, SJ, and Witelski, TP. "Interaction of spiral waves in the Complex Ginzburg-Landau equation." *Physical Review Letters* 101.224101 (2008). (Academic Article)

Schaeffer, DG, Shearer, M, and Witelski, TP. "Boundary-value problems for hyperbolic equations related to steady granular flow." *Mathematics and Mechanics of Solids* 12.6 (December 1, 2007): 665-699.
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Levy, R, Shearer, M, and Witelski, TP. "Gravity-driven thin liquid films with insoluble surfactant: Smooth traveling waves." *European Journal of Applied Mathematics* 18.6 (December 1, 2007): 679-708.
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Witelski, TP, Shearer, M, and Levy, R. "Growing surfactant waves in thin liquid films driven by gravity." *Applied Mathematics Research Express* 2006 (December 1, 2006).
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Witelski, TP, and Rienstra, SW. "Introduction to practical asymptotics III." *Journal of Engineering Mathematics* 53.3-4 (December 1, 2005): 199-null.
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Münch, A, Wagner, B, and Witelski, TP. "Lubrication models with small to large slip lengths." *Journal of Engineering Mathematics* 53.3-4 (December 1, 2005): 359-383.
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Fetzer, R, Jacobs, K, Münch, A, Wagner, B, and Witelski, TP. "New slip regimes and the shape of dewetting thin liquid films." *Phys Rev Lett* 95.12 (September 16, 2005): 127801-.
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Haskett, RP, Witelski, TP, and Sur, J. "Localized Marangoni forcing in driven thin films." *Physica D: Nonlinear Phenomena* 209.1-4 SPEC. ISS. (September 15, 2005): 117-134.
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Glasner, KB, and Witelski, TP. "Collision versus collapse of droplets in coarsening of dewetting thin films." *Physica D: Nonlinear Phenomena* 209.1-4 SPEC. ISS. (September 15, 2005): 80-104.
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