Thomas P Witelski

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

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.

Awards, Honors, and Distinctions

  • Top 5% teaching. Duke Arts and Science. 2018
  • Top 5% teaching. Duke Arts and Science. 2017
  • Faculty Early Career Development (CAREER) Program. National Science Foundation. 2003
  • 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 575: Mathematical Fluid Dynamics
  • MATH 577: Mathematical Modeling

Representative Publications

  • Gao, Y; Ji, H; Liu, JG; Witelski, TP, A vicinal surface model for epitaxial growth with logarithmic free energy, Discrete and Continuous Dynamical Systems Series B, vol 23 no. 10 (2018), pp. 4433-4453 [10.3934/dcdsb.2018170] [abs].
  • 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].
  • BOWEN, M; WITELSKI, TP, Pressure-dipole solutions of the thin-film equation, European Journal of Applied Mathematics (2018), pp. 1-42 [10.1017/S095679251800013X] [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, JG; 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].

Additional Information

Journal editorial boards

Other Activities