Thomas Peter Witelski
Professor in the Department of Mathematics
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.
Appointments and Affiliations
 Professor in the Department of Mathematics
Contact Information:
 Office Phone: (919) 6602841
 Email Address: witelski@math.duke.edu
 Web Page:
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
Courses Taught:
 MATH 551: Applied Partial Differential Equations and Complex Variables
 MATH 553: Asymptotic and Perturbation Methods
 MATH 577: Mathematical Modeling
 MATH 79050: Research in Differential Equations
 STA 790: Special Topics in Statistics
Representative Publications: (More Publications)
 T.P. Witelski, L.N. Virgin, C. George, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol 333 no. 6 (March, 2014), pp. 17341753 [doi].
 N.S. Hall Taylor, I.J. Hewitt, J.R. Ockendon, T.P. Witelski, A new model for disturbance waves, International Journal of Multiphase Flow, vol 66 (2014), pp. 3845 [doi].
 S.J.Chapman, P.H.Trinh and T.P. Witelski, Exponential asymptotics for thin film rupture, SIAM Journal on Applied Mathematics, vol 73 no. 1 (2013), pp. 232253 [120872012], [doi].
 L.B.Smolka and T.P. Witelski, Biaxial extensional motion of an inertially driven radiallyexpanding liquid sheet, Physics of Fluids, vol 25 no. 062105 (2013) [doi].
 T.P. Witelski, D. Ambrose, A. Bertozzi, A. Layton, ZL. Li, M. Minion, Preface: special issue on fluid dynamics, analysis and numerics, Discrete and Continuous Dynamical Systems Series B, vol 17 no. 4 (June, 2012), pp. iii.
 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
 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