Thomas Peter Witelski

Image of 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
  • Professor in the Department of Mechanical Engineering and Materials Science
Contact Information:
  • Office Location: 295 Physics Bldg, Box 90320, Durham, NC 27708-0320
  • Office Phone: (919) 660-2841
  • 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:

  • Nominated for 2004-05 Alumni Distinguished Undergraduate Teaching Award, 2005

Courses Taught:
  • MATH 493: Research Independent Study
  • MATH 551: Applied Partial Differential Equations and Complex Variables
  • MATH 553: Asymptotic and Perturbation Methods
  • MATH 577: Mathematical Modeling
  • MATH 790-50: Research in Differential Equations

Representative Publications: (More Publications)
    • 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. 1734-1753 [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].
    • Witelski, T; Virgin, LN; George, C, A driven system of impacting pendulums: Experiments and simulations, Journal of Sound and Vibration (2013) [abs].
    • Chapman, SJ; Trinh, PH; Witelski, TP, Exponential Asymptotics for Thin Film Rupture., SIAM Journal of Applied Mathematics, vol 73 (2013), pp. 232-253 [10.1137/120872012] [abs].
    • Witelski, T; Ambrose, D; Bertozzi, A; Layton, A; Li, Z; Minion, M, Preface: Special issue on fluid dynamics, analysis and numerics, Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences, vol 17 no. 4 (2012), pp. i-ii [10.3934/dcdsb.2012.17.4i] [abs].
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