Thomas P. Witelski
- Professor in the Department of Mathematics
- Professor in the Department of Mechanical Engineering and Materials Science (Secondary)
Research Areas and Keywords
PDE & Dynamical Systems
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.
Witelski, T. P. “Preface to the special issue on “Thin films and fluid interfaces”.” Journal of Engineering Mathematics, vol. 94, no. 1, Oct. 2015. Scopus, doi:10.1007/s10665-014-9760-z. Full Text
Dijksman, Joshua A., et al. “Obtaining self-similar scalings in focusing flows..” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 92, no. 4, Oct. 2015. Epmc, doi:10.1103/physreve.92.043016. Full Text
Witelski, T., et al. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration, vol. 333, no. 6, Mar. 2014, pp. 1734–53. Scopus, doi:10.1016/j.jsv.2013.11.004. Full Text
Smolka, L. B., and T. P. Witelski. “Biaxial extensional motion of an inertially driven radially expanding liquid sheet.” Physics of Fluids, vol. 25, no. 6, Jan. 2013. Scopus, doi:10.1063/1.4811389. Full Text
Chapman, S. Jonathan, et al. “Exponential Asymptotics for Thin Film Rupture..” Siam Journal of Applied Mathematics, vol. 73, 2013, pp. 232–53.
Huang, Y., et al. “Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions.” Applied Mathematics Letters, vol. 25, no. 12, Dec. 2012, pp. 2317–21. Scopus, doi:10.1016/j.aml.2012.06.023. Full Text
Witelski, T., et al. “Preface: Special issue on fluid dynamics, analysis and numerics.” Discrete and Continuous Dynamical Systems Series B, vol. 17, no. 4, June 2012. Scopus, doi:10.3934/dcdsb.2012.17.4i. Full Text
Wiebe, R., et al. “A parametrically forced nonlinear system with reversible equilibria.” International Journal of Bifurcation and Chaos, vol. 22, no. 6, Jan. 2012. Scopus, doi:10.1142/S0218127412300200. Full Text
Faculty mentor/problem presenter. 2nd UK Graduate Modelling Camp. University of Oxford, Mathematical Institute, OCCAM Oxford Centre for Collaborative Applied Mathematics. April 6, 2010 - April 9, 2010