Thomas P Witelski

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
  • 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.

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 Fellowship-Mathematics. Alfred P. Sloan Foundation. 2000
  • Sloan Research Fellowship-Mathematics. 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 790-71: Current Research in Applied Mathematics

Representative Publications

  • Smolka, LB; McLaughlin, CK; Witelski, TP, Oil capture from a water surface by a falling sphere, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 497 (2016), pp. 126-132 [10.1016/j.colsurfa.2016.02.026] [abs].
  • Dijksman, JA; Mukhopadhyay, S; Gaebler, C; Witelski, TP; Behringer, RP, Obtaining self-similar scalings in focusing flows., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol 92 no. 4 (2015) [10.1103/physreve.92.043016] [abs].
  • Witelski, TP, Preface to the special issue on “Thin films and fluid interfaces”, Journal of Engineering Mathematics, vol 94 no. 1 (2015), pp. 1-3 [10.1007/s10665-014-9760-z] [abs].
  • Hall Taylor, NS; Hewitt, IJ; Ockendon, JR; Witelski, TP, A new model for disturbance waves, International Journal of Multiphase Flow, vol 66 (2014), pp. 38-45 [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. 1734-1753 [10.1016/j.jsv.2013.11.004] [abs].

Additional Information

Journal editorial boards

Other Activities