Thomas P. Witelski

Thomas P. 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
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

Aguareles, M., et al. “Motion of spiral waves in the complex Ginzburg-Landau equation.” Physica D: Nonlinear Phenomena, vol. 239, no. 7, Apr. 2010, pp. 348–65. Scopus, doi:10.1016/j.physd.2009.12.003. Full Text

Bernoff, A. J., and T. P. Witelski. “Stability and dynamics of self-similarity in evolution equations.” Journal of Engineering Mathematics, vol. 66, no. 1, Jan. 2010, pp. 11–31. Scopus, doi:10.1007/s10665-009-9309-8. Full Text

Witelski, T. P. “The subtle art of blowing bubbles (News and Views: Fluid Dynamics).” Nature Physics, vol. 5, May 2009, pp. 315–16.

Hwang, H. J., and T. P. Witelski. “Short-time pattern formation in thin film equations.” Discrete and Continuous Dynamical Systems, vol. 23, no. 3, Mar. 2009, pp. 867–85. Scopus, doi:10.3934/dcds.2009.23.867. Full Text

Gratton, M. B., and T. P. Witelski. “Transient and self-similar dynamics in thin film coarsening.” Physica D: Nonlinear Phenomena, vol. 238, no. 23–24, Jan. 2009, pp. 2380–94. Scopus, doi:10.1016/j.physd.2009.09.015. Full Text

Smolka, L. B., and T. P. Witelski. “On the planar extensional motion of an inertially driven liquid sheet.” Physics of Fluids, vol. 21, no. 4, Jan. 2009. Scopus, doi:10.1063/1.3094026. Full Text

Witelski, T. P. “Fluid dynamics: The subtle art of blowing bubbles.” Nature Physics, vol. 5, no. 5, Jan. 2009, pp. 315–16. Scopus, doi:10.1038/nphys1265. Full Text

Santillan, S. T., et al. “Large oscillations of beams and columns including self-weight.” International Journal of Non Linear Mechanics, vol. 43, no. 8, Oct. 2008, pp. 761–71. Scopus, doi:10.1016/j.ijnonlinmec.2008.04.007. Full Text

Catllá, A. J., et al. “On spiking models for synaptic activity and impulsive differential equations.” Siam Review, vol. 50, no. 3, Sept. 2008, pp. 553–69. Scopus, doi:10.1137/060667980. Full Text

DiCarlo, D. A., et al. “Nonmonotonic traveling wave solutions of infiltration into porous media.” Water Resources Research, vol. 44, no. 2, Feb. 2008. Scopus, doi:10.1029/2007WR005975. Full Text

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