Thomas Peter Witelski

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

perturbation methods
Computational Mathematics
numerical partial differential equations
PDE & Dynamical Systems
fluid dynamics, nonlinear partial differential equations, dynamical systems, perturbation methods
Physical Modeling
fluid dynamics

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.

Education & Training
  • Ph.D., California Institute of Technology 1995

  • B.S.E., Cooper Union 1991

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 (January 2008): 553-569. Full Text

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-. Full Text

Schaeffer, DG, Shearer, M, and Witelski, TP. "Boundary-value problems for hyperbolic equations related to steady granular flow." Mathematics and Mechanics of Solids 12.6 (2007): 665-699. Full Text

Levy, R, Shearer, M, and Witelski, TP. "Gravity-driven thin liquid films with insoluble surfactant: Smooth traveling waves." European Journal of Applied Mathematics 18.6 (2007): 679-708. Full Text

Bowen, M, and Witelski, TP. "The linear limit of the dipole problem for the thin film equation." SIAM Journal on Applied Mathematics 66.5 (2006): 1727-1748. Full Text

Witelski, TP, Shearer, M, and Levy, R. "Growing surfactant waves in thin liquid films driven by gravity." Applied Mathematics Research eXpress 2006 (2006). Full Text

Fetzer, R, Jacobs, K, Münch, A, Wagner, B, and Witelski, TP. "New slip regimes and the shape of dewetting thin liquid films." Phys Rev Lett 95.12 (September 16, 2005): 127801-. Full Text

Haskett, RP, Witelski, TP, and Sur, J. "Localized Marangoni forcing in driven thin films." Physica D: Nonlinear Phenomena 209.1-4 SPEC. ISS. (2005): 117-134. Full Text

Glasner, KB, and Witelski, TP. "Collision versus collapse of droplets in coarsening of dewetting thin films." Physica D: Nonlinear Phenomena 209.1-4 SPEC. ISS. (2005): 80-104. Full Text

Witelski, TP, and Rienstra, SW. "Introduction to practical asymptotics III." Journal of Engineering Mathematics 53.3-4 (2005): 199--. Full Text