# 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.

Witelski, T, Virgin, LN, and George, C. "A driven system of impacting pendulums: Experiments and simulations." *Journal of Sound and Vibration* (2013).

Chapman, SJ, Trinh, PH, and Witelski, TP. "Exponential Asymptotics for Thin Film Rupture." *SIAM Journal of Applied Mathematics* 73 (2013): 232-253.
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Witelski, T, Ambrose, D, Bertozzi, A, Layton, A, Li, Z, and Minion, M. "Preface: Special issue on fluid dynamics, analysis and numerics." *Discrete and Continuous Dynamical Systems - Series B* 17.4 (2012): i-ii.
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Wiebe, R, Virgin, LN, and Witelski, TP. "A parametrically forced nonlinear system with reversible equilibria." *International Journal of Bifurcation and Chaos* 22.6 (2012).
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Huang, Y, Witelski, TP, and Bertozzi, AL. "Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions." *Applied Mathematics Letters* 25.12 (2012): 2317-2321.
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Aydemir, E, Breward, CJW, and Witelski, TP. "The effect of polar lipids on tear film dynamics." *Bull Math Biol* 73.6 (June 2011): 1171-1201.
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Bernoff, AJ, and Witelski, TP. "Stability and dynamics of self-similarity in evolution equations." *Journal of Engineering Mathematics* 66.1 (2010): 11-31.
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Aguareles, M, Chapman, SJ, and Witelski, T. "Motion of spiral waves in the complex Ginzburg-Landau equation." *Physica D: Nonlinear Phenomena* 239.7 (2010): 348-365.
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Witelski, TP. "The subtle art of blowing bubbles (News and Views: Fluid Dynamics)." *Nature Physics* 5 (May 2009): 315-316. (Academic Article)

Hwang, HJ, and Witelski, TP. "Short-time pattern formation in thin film equations." *Discrete and Continuous Dynamical Systems* 23.3 (2009): 867-885.
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