Thomas P. Witelski, Professor of Mathematics and Pratt School of Engineering

Thomas P. Witelski

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.

Office Location:  295
Office Phone:  (919) 660-2841
Email Address: send me a message
Web Pages:  http://fds.duke.edu/db/aas/math/faculty/witelski
http://www.researcherid.com/rid/G-5389-2016

Teaching (Fall 2018):  (typical courses)

Office Hours:

Mondays 10:00am-noon and Tuesdays noon-2:30pm
Education:

Ph.D.California Institute of Technology1995
B.S.E.Cooper Union1991
Specialties:

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, 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.

Areas of Interest:

Fluid dynamics
Partial differential equations
Asymptotics/Perturbation methods
Industrial and Applied mathematics

Keywords:

Differential equations, Nonlinear • Differential equations, Parabolic • Fluid dynamics • Surface Tension

Current Ph.D. Students  

Postdocs Mentored

Undergraduate Research Supervised

Recent Publications   (search)

  1. 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 (April, 2018), pp. e1006095 [doi]  [abs]
  2. Ji, H; Witelski, TP, Instability and dynamics of volatile thin films, Physical Review Fluids, vol. 3 no. 2 (February, Submitted, 2018) [doi]  [abs]
  3. 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 (July, 2017), pp. 13-25 [doi]
  4. Ji, H; Witelski, TP, Finite-time thin film rupture driven by modified evaporative loss, Physica D: Nonlinear Phenomena, vol. 342 (March, 2017), pp. 1-15 [doi]
  5. 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 [doi]
Recent Grant Support

Conferences Organized

Journal editorial boards Other Activities