Thomas P Witelski
Professor in the Department of MathematicsMy 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
- Office Location: 295 Physics Bldg, Box 90320, Durham, NC 27708-0320
- Office Phone: (919) 660-2841
- Email Address: email@example.com
- Ph.D. California Institute of Technology, 1995
- B.S.E. Cooper Union, 1991
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.
Awards, Honors, and Distinctions
- Faculty Early Career Development (CAREER) Program. National Science Foundation. 2003
- Sloan Research Fellowship-Mathematics. Alfred P. Sloan Foundation. 2000
- MATH 218: Matrices and Vector Spaces
- MATH 551: Applied Partial Differential Equations and Complex Variables
- MATH 553: Asymptotic and Perturbation Methods
- MATH 577: Mathematical Modeling
- MATH 790-71: Current Research in Applied Mathematics
- Chiou, J-G; Ramirez, SA; Elston, TC; Witelski, TP; Schaeffer, DG; Lew, DJ, Principles that govern competition or co-existence in Rho-GTPase driven polarization., Plos Computational Biology, vol 14 no. 4 (2018) [10.1371/journal.pcbi.1006095] [abs].
- Ji, H; Witelski, TP, Instability and dynamics of volatile thin films, Physical Review Fluids, vol 3 no. 2 (2018) [10.1103/PhysRevFluids.3.024001] [abs].
- Gao, Y; Ji, H; Liu, J-G; Witelski, TP, Global existence of solutions to a tear film model with locally elevated evaporation rates, Physica D: Nonlinear Phenomena, vol 350 (2017), pp. 13-25 [10.1016/j.physd.2017.03.005] [abs].
- 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].
- Gao, Y; Ji, H; Liu, J-G; P. Witelski, T, A vicinal surface model for epitaxial growth with logarithmic free energy, Discrete & Continuous Dynamical Systems B, vol 22 no. 11 (2017), pp. 1-21 [10.3934/dcdsb.2018170] [abs].
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