Thomas Peter 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
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
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 FellowshipMathematics. Alfred P. Sloan Foundation. 2000
 Sloan Research FellowshipMathematics. Alfred P. Sloan Foundation. 2000
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
Representative Publications: (More Publications)
 Hall Taylor, NS; Hewitt, IJ; Ockendon, JR; Witelski, TP, A new model for disturbance waves, International Journal of Multiphase Flow, vol 66 (2014), pp. 3845 [10.1016/j.ijmultiphaseflow.2014.06.004] [abs].
 Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration, vol 333 no. 6 (2014), pp. 17341753 [10.1016/j.jsv.2013.11.004] [abs].
 Smolka, LB; Witelski, TP, Biaxial extensional motion of an inertially driven radially expanding liquid sheet, Physics of Fluids, vol 25 no. 6 (2013) [10.1063/1.4811389] [abs].
 Chapman, SJ; Trinh, PH; Witelski, TP, Exponential Asymptotics for Thin Film Rupture., SIAM Journal of Applied Mathematics, vol 73 (2013), pp. 232253 [10.1137/120872012] [abs].
 Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration (2013) [abs].
 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