Thomas P. Witelski
- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
Research Areas and Keywords
numerical partial differential equations
PDE & Dynamical Systems
fluid dynamics, nonlinear partial differential equations, dynamical systems, perturbation methods
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. P., et al. “Critical wave speeds for a family of scalar reaction-diffusion equations.” Applied Mathematics Letters, vol. 14, no. 1, Jan. 2001, pp. 65–73. Scopus, doi:10.1016/S0893-9659(00)00114-2. Full Text
Witelski, T. P., and A. J. Bernoff. “Dynamics of three-dimensional thin film rupture.” Physica D: Nonlinear Phenomena, vol. 147, no. 1–2, Dec. 2000, pp. 155–76. Scopus, doi:10.1016/S0167-2789(00)00165-2. Full Text
Witelski, T. P., et al. “On axisymmetric traveling waves and radial solutions of semi-linear elliptic equations.” Natural Resource Modeling, vol. 13, no. 3, Jan. 2000, pp. 339–88. Scopus, doi:10.1111/j.1939-7445.2000.tb00039.x. Full Text
Witelski, T. P., and F. Hendriks. “Large bearing number stability analysis for tango class gas bearing sliders.” Tribology Transactions, vol. 42, no. 3, Jan. 1999, pp. 668–74. Scopus, doi:10.1080/10402009908982268. Full Text
Witelski, T. P., and F. Hendriks. “Stability of gas bearing sliders for large bearing number: Convective instability of the tapered slider©.” Tribology Transactions, vol. 42, no. 1, Jan. 1999, pp. 216–22. Scopus, doi:10.1080/10402009908982211. Full Text
Witelski, T. P., and A. J. Bernoff. “Stability of self-similar solutions for van der Waals driven thin film rupture.” Physics of Fluids, vol. 11, no. 9, Jan. 1999, pp. 2443–45. Scopus, doi:10.1063/1.870138. Full Text
Brenner, M. P., and T. P. Witelski. “On spherically symmetric gravitational collapse.” Journal of Statistical Physics, vol. 93, no. 3–4, Nov. 1998, pp. 863–99.
Bernoff, A. J., et al. “Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff.” Journal of Statistical Physics, vol. 93, no. 3–4, Nov. 1998, pp. 725–76.
Witelski, T. P., et al. “On the properties of polymer globules in the high density limit.” Journal of Chemical Physics, vol. 108, no. 21, June 1998, pp. 9144–49. Scopus, doi:10.1063/1.476361. Full Text