Math @ Duke

Research Interests for Thomas P. Witelski
Research Interests: Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations
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.  Keywords:
 Differential equations, Nonlinear, Differential equations, Parabolic, Fluid dynamics, Surface Tension
 Areas of Interest:
Fluid dynamics Partial differential equations Asymptotics/Perturbation methods Industrial and Applied mathematics
 Recent Publications
(search)
 Gao, Y; Ji, H; Liu, JG; Witelski, TP, Global existence of solutions to a tear film model with locally elevated evaporation rates,
Physica D: Nonlinear Phenomena, vol. 350
(July, 2017),
pp. 1325 [doi]
 Ji, H; Witelski, TP, Finitetime thin film rupture driven by modified evaporative loss,
Physica D: Nonlinear Phenomena, vol. 342
(March, 2017),
pp. 115 [doi]
 George, C; Virgin, LN; Witelski, T, Experimental study of regular and chaotic transients in a nonsmooth system,
International Journal of NonLinear Mechanics, vol. 81
(2016),
pp. 5564 [doi]
 Sanaei, P; Richardson, GW; Witelski, T; Cummings, LJ, Flow and fouling in a pleated membrane filter,
Journal of Fluid Mechanics, vol. 795
(2016),
pp. 3659 [doi]
 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. 126132, ISSN 09277757 [doi]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

