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
Office Hours: 

Mondays 10:00am-noon and Tuesdays noon-2:30pm

Research Areas and Keywords

Analysis
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

Gratton, MB, and Witelski, TP. "Transient and self-similar dynamics in thin film coarsening." Physica D: Nonlinear Phenomena 238.23-24 (2009): 2380-2394. Full Text

Witelski, TP. "Fluid dynamics: The subtle art of blowing bubbles." Nature Physics 5.5 (2009): 315-316. Full Text

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

Witelski, TP, and Bowen, M. "Singular perturbation theory." Scholarpedia 4 (2009): 3951-3951. Full Text

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 (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

Gratton, MB, and Witelski, TP. "Coarsening of dewetting thin films subject to gravity." Physical Review E 77.016301 (2008): 1-11. (Academic Article)

DiCarlo, DA, Juanes, R, LaForce, T, and Witelski, TP. "Nonmonotonic traveling wave solutions of infiltration into porous media." Water Resources Research 44.2 (2008). Full Text

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 (2008): 761-771. Full Text

Aguareles, M, Chapman, SJ, and Witelski, TP. "Interaction of spiral waves in the Complex Ginzburg-Landau equation." Physical Review Letters 101.224101 (2008). (Academic Article)

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