# 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.

Witelski, TP. "Stopping and merging problems for the porous media equation." *IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)* 54.3 (1995): 227-243.
Full Text

Witelski, TP. "An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation." *Journal of Mathematical Biology* 33.1 (1994): 1-16.
Full Text

Witelski, T, Ng, P, Ying, J, Jundy, J, and Bove, J. "An application of pattern recognition and infrared spectroscopy to water analysis." *International Journal of Environmental Analytical Chemistry* 44.2 (1991): 127-136. (Academic Article)

BOWEN, M, and WITELSKI, TP. "Pressure-dipole solutions of the thin-film equation(Published online)." *European Journal of Applied Mathematics*: 1-42.
Full Text