# 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. "Stability and dynamics of self-similarity in evolution equations." *Journal of Engineering Mathematics* 66.1 (January 1, 2010): 11-31.
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Gratton, MB, and Witelski, TP. "Transient and self-similar dynamics in thin film coarsening." *Physica D: Nonlinear Phenomena* 238.23-24 (December 1, 2009): 2380-2394.
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Smolka, LB, and Witelski, TP. "On the planar extensional motion of an inertially driven liquid sheet." *Physics of Fluids* 21.4 (May 14, 2009).
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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 (March 1, 2009): 867-885.
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Witelski, TP. "Fluid dynamics: The subtle art of blowing bubbles." *Nature Physics* 5.5 (January 1, 2009): 315-316.
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Santillan, ST, Plaut, RH, Witelski, TP, and Virgin, LN. "Large oscillations of beams and columns including self-weight." *International Journal of Non Linear Mechanics* 43.8 (October 1, 2008): 761-771.
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Catllá, AJ, Schaeffer, DG, Witelski, TP, Monson, EE, and Lin, AL. "On spiking models for synaptic activity and impulsive differential equations." *Siam Review* 50.3 (September 1, 2008): 553-569.
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DiCarlo, DA, Juanes, R, LaForce, T, and Witelski, TP. "Nonmonotonic traveling wave solutions of infiltration into porous media." *Water Resources Research* 44.2 (February 1, 2008).
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Gratton, MB, and Witelski, TP. "Coarsening of unstable thin films subject to gravity." *Phys Rev E Stat Nonlin Soft Matter Phys* 77.1 Pt 2 (January 2008): 016301-.
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