Thomas P. Witelski
- Center for Theoretical & Mathematical Sciences
- 295 Physics
- Campus Box 90320
- Phone: 00-1-(919) 660-2841
- Fax: 00-1-(919) 660-2864
- Homepage
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Other
Journal editorial boards- Journal of Engineering Mathematics
- Discrete and Continuous Dynamical Systems B
- European Journal of Applied Mathematics
- Journal of Mathematical Analysis and Applications
- International Journal of Mathematics and Math Sciences
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Research on fluid dynamics of thin viscous films
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Mathematical Problems in Industry Workshop 2007: University of Delaware, June 11-15,2007
- Scientific Computing and Applied Mathematics
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Applied Math Web Resources guide
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myX: a simple C/C++ programming interface for X11 graphics
- As seen on RateMyProfessors.com
- Tom's favorite integral
- Great quotes in mathematical modeling
- Colin: It's obvious!
Peter: It's "obvious" in what sense?
[...]
Colin: [paraphrased] Nevermind, its wrong :)
- Colin: It's obvious!
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Specialties
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Research Summary
Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations -
Research Description
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.
