Thomas P Witelski
Professor in the Department of Mathematics
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.Appointments and Affiliations
- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science
Contact Information
- Office Location: 295 Physics Bldg, Box 90320, Durham, NC 27708-0320
- Office Phone: (919) 660-2841
- Email Address: witelski@math.duke.edu
- Websites:
Education
- Ph.D. California Institute of Technology, 1995
- B.S.E. Cooper Union, 1991
Research Interests
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, dynamical systems, and industrial applications. 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.
Specialties
Applied Math
Applied Math
Awards, Honors, and Distinctions
- 2008 Teaching Award. Mathematical Institute, University of Oxford. 2008
- JMAA outstanding Associate Editor Award for 2007. Journal of Mathematical Analysis and Applications. 2008
- Sloan Research Fellowship-Mathematics. Alfred P. Sloan Foundation. 2000
- Sloan Research Fellowship-Mathematics. Alfred P. Sloan Foundation. 2000
Courses Taught
- MATH 218: Matrices and Vector Spaces
- MATH 551: Applied Partial Differential Equations and Complex Variables
- MATH 553: Asymptotic and Perturbation Methods
- MATH 790-71: Current Research in Applied Mathematics
Representative Publications
- Ji, H; Witelski, TP, Finite-time thin film rupture driven by modified evaporative loss, Physica D: Nonlinear Phenomena, vol 342 (2017), pp. 1-15 [10.1016/j.physd.2016.10.002] [abs].
- George, C; Virgin, LN; Witelski, T, Experimental study of regular and chaotic transients in a non-smooth system, International Journal of Non-Linear Mechanics, vol 81 (2016), pp. 55-64 [10.1016/j.ijnonlinmec.2015.12.006] [abs].
- Smolka, LB; McLaughlin, CK; Witelski, TP, Oil capture from a water surface by a falling sphere, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 497 (2016), pp. 126-132 [10.1016/j.colsurfa.2016.02.026] [abs].
- Sanaei, P; Richardson, GW; Witelski, T; Cummings, LJ, Flow and fouling in a pleated membrane filter, Journal of Fluid Mechanics, vol 795 (2016), pp. 36-59 [10.1017/jfm.2016.194] [abs].
- Dijksman, JA; Mukhopadhyay, S; Gaebler, C; Witelski, TP; Behringer, RP, Obtaining self-similar scalings in focusing flows., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol 92 no. 4 (2015) [10.1103/physreve.92.043016] [abs].
Additional Information
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
Other Activities
- Research on fluid dynamics of thin viscous films
- Mathematical Problems in Industry Workshop
- Scientific Computing and Applied Mathematics
- Applied Math Web Resources guide
- myX: a simple C/C++ programming interface for X11 graphics
- As seen on RateMyProfessors.com
- Tom's favorite integral