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Thomas P Witelski, Associate Professor of Mathematics
 - Contact Info:
Teaching (Fall 2008):
- Education:
| PhD | Caltech | 1995 |
| BS in Engineering, Summa Cum Laude | Cooper Union School of Engineering | 1991 |
| Diploma | Stuyvesant High School, New York | 1987 |
- Specialties:
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Applied Math
- Research Interests: Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations
My primary area of expertise is the solution
of nonlinear ordinary and partial differential equations via perturbation
methods. Using asymptotics along with a mixture of other applied mathematical techniques in
analysis and scientific computing I study a broad range of applications
in physical systems. Focuses of my work include problems in viscous fluid flow, industrial applications, flow in porous media, mathematical
biology, and granular materials. Through my research I am working to
extend the understanding of nonlinear diffusion processes in physical systems.
Studying problems in a range of different fields has given me a unique
opportunity to interact with a diverse set of collaborators and to transfer analytic techniques across the traditional boundaries that
separate fields.
- Areas of Interest:
- Fluid dynamics
Partial differential equations Asymptotics/Perturbation methods Industrial and Applied mathematics
- Current Ph.D. Students
(Former Students)
- Postdocs Mentored
- Recent Publications
(More Publications)
- M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity,
Physical Review E, vol. 77 no. 016301
(2008),
pp. 1--11 [e016301]
- David G. Schaeffer, Michael Shearer and T.P. Witelski, Boundary-value problems for hyperbolic PDE related to steady granular flow,
Mathematics and Mechanics of Solids, vol. 12 no. 6
(2007),
pp. 665-699 (DOI: 10.1177/1081286506067325.)
- R. Levy,M. Shearer and T.P. Witelski, Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves,
European Journal of Applied Mathematics, vol. 18 no. 6
(2006),
pp. 679--708
- T.P. Witelski, R. Levy and M. Shearer, Growing surfactant waves in thin liquid films driven by gravity,
Applied Mathematics Research Express, vol. 2006 no. 15487
(2006),
pp. 1-21
- Mark Bowen and Thomas P. Witelski, The linear limit of the dipole problem for the thin film equation,
SIAM journal on applied mathematics, vol. 66 no. 5
(2006),
pp. 1727--1748
- Recent Grant Support
- FRG - Collaborative Research: New Challenges in the Dynamics of Thin Flims & Fluid Interfaces, National Science Foundation, DMS-02-44498, 2003/09-2006/08.
- CAREER Award, NSF, 2003/09.
Journal editorial boards
Other Activities
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