Math @ Duke
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Thomas P Witelski, Associate Professor
 - Contact Info:
Teaching (Fall 2008):
- Office Hours:
- On Leave
Tom Witelski The Mathematical Institute OCIAM 24-29 St Giles Oxford OX1 3LB UK
Email witelski@maths.ox.ac.uk
- 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.
- Conferences Organized
- Euromech 490 Workshop: Dynamics and Stability of thin liquid films and slender jets, Organising Committee, September 19, 2007 - September 21, 2007
- Third Annual Graduate Student Mathematical Modeling Camp, Faculty Mentor, June 6, 2006 - June 9, 2006
- UCLA-IPAM-NSF workshop on Thin Films and Fluid Interfaces, Organizing Committee, January 30, 2006 - February 2, 2006
- MPI 2005-21th Annual Workshop on Mathematical Problems in Industry, Organizing Committee, June 13, 2005 - June 17, 2005
- MPI 2004-20th Annual Workshop on Mathematical Problems in Industry, Organizing Committee, June 21, 2004 - June 25, 2004
- First Annual Graduate Student Mathematical Modeling Camp, Mentor, June 15, 2004 - June 18, 2004
- Dynamics Days 2004, Local Organizing Committee + Webmaster, January 2004
- Nonlinear dynamics of thin films and fluid interfaces, Organizing Committee Member, November-December 2003
- MPI 2003-19th Annual Workshop on Mathematical Problems in Industry, Organizing Committee, June 2003
- MPI 2002-Eighteenth Annual Workshop on Mathematical Problems in Industry, Organizing Comittee, June 2002
- Nonlinear Differential Equations, Mechanics and Bifurcation 2002: A conference in honor of David G. Schaeffer, Member of organizing committee, 2001-02
- MPI 2001-Seventeenth Annual Workshop on Mathematical Problems in Industry, Organizing Committee, June 2001
- Minisymposium MS1:Instabilities and Breakdown of Asymptotic Models inContinuum Mechanics, SIAM Conference on Materials Science 2000, Co-Organizer, with Mary Pugh (U-Penn), May 2000
Journal editorial boards
Other Activities
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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