- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
Thomas Peter Witelski
Research Areas and Keywords
PDE & Dynamical Systems
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).
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. Full Text
Wiebe, R, Virgin, LN, and Witelski, TP. "A parametrically forced nonlinear system with reversible equilibria." International Journal of Bifurcation and Chaos 22.6 (2012). Full Text
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. Full Text
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. Full Text
Bernoff, AJ, and Witelski, TP. "Stability and dynamics of self-similarity in evolution equations." Journal of Engineering Mathematics 66.1 (2010): 11-31. Full Text
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. Full Text
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. Full Text