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

Gao, Y, Ji, H, Liu, JG, and Witelski, TP. "A vicinal surface model for epitaxial growth with logarithmic free energy." Discrete and Continuous Dynamical Systems Series B 23.10 (December 1, 2018): 4433-4453. Full Text

Chiou, J-G, Ramirez, SA, Elston, TC, Witelski, TP, Schaeffer, DG, and Lew, DJ. "Principles that govern competition or co-existence in Rho-GTPase driven polarization." Plos Computational Biology 14.4 (April 12, 2018): e1006095-null. Full Text Open Access Copy

BOWEN, M, and WITELSKI, TP. "Pressure-dipole solutions of the thin-film equation(Accepted)." European Journal of Applied Mathematics (April 2, 2018): 1-42. Full Text

Ji, H, and Witelski, TP. "Instability and dynamics of volatile thin films." Physical Review Fluids 3.2 (February 1, 2018). Full Text

Gao, Y, Ji, H, Liu, JG, and Witelski, TP. "Global existence of solutions to a tear film model with locally elevated evaporation rates." Physica D: Nonlinear Phenomena 350 (July 1, 2017): 13-25. Full Text

Ji, H, and Witelski, TP. "Finite-time thin film rupture driven by modified evaporative loss." Physica D: Nonlinear Phenomena 342 (March 1, 2017): 1-15. Full Text

Sanaei, P, Richardson, GW, Witelski, T, and Cummings, LJ. "Flow and fouling in a pleated membrane filter." Journal of Fluid Mechanics 795 (May 25, 2016): 36-59. Full Text

Smolka, LB, McLaughlin, CK, and Witelski, TP. "Oil capture from a water surface by a falling sphere." Colloids and Surfaces A: Physicochemical and Engineering Aspects 497 (May 20, 2016): 126-132. Full Text

George, C, Virgin, LN, and Witelski, T. "Experimental study of regular and chaotic transients in a non-smooth system." International Journal of Non Linear Mechanics 81 (May 1, 2016): 55-64. Full Text

Witelski, TP. "Preface to the special issue on “Thin films and fluid interfaces”." Journal of Engineering Mathematics 94.1 (October 29, 2015). Full Text


Top 5% of Undergraduate Instructors in Natural Sciences

The Math department congratulates its faculty members Tori Akin, Rann Bar-on, Sarah Schott, Hugh Bray and Tom Witelski.  They have been recognized by Academic Affairs for their contribution to teaching excellence at Duke.  These faculty are in the... read more »

SIAM Certificate Awarded to Hangjie Ji

Graduate Student and new PhD, Hangjie (Jessie) Ji, was recognized by the Society for Industrial and Applied Mathematics (SIAM) for her "outstanding efforts and accomplishments" on behalf of the Duke University SIAM chapter. She is pictured here with... read more »

New SIAM Chapter at Duke Mathematics!

SIAM is the Society of Industrial and Applied Mathematics. We formed this chapter to promote collaboration, interdisciplinary activities, and fellowship between graduate students in the Mathematics and other related departments. Our newly formed... read more »

Mathematical Problems in Industry

The Mathematical Problems in Industry (MPI) is a week long workshop where companies bring real world problems to students and researchers in mathematics to find solutions. MPI takes place at a different university every summer. This is the first... read more »

Modeling Temperature Dependence in Marangoni-driven Thin Films

A thin liquid film is a layer of fluid that has a breadth much greater than its depth.  A representative example is the tear film that coats your eye to protect it: the thickness of this coating is only a few micrometers but its breadth is a few... read more »