Research Interests for Thomas P. Witelski
Research Interests: Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations
- Keywords:
- Asymptotic Analysis, Differential equations, Nonlinear, Differential equations, Parabolic, Fluid Dynamics, Fluid dynamics, Nonlinear Ordinary and Partial differential equations, Perturbation Methods, Perturbations, asymptotics, Surface Tension
- Representative Publications
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- Witelski, T; Bowen, M, Methods of Mathematical Modelling: Continuous Systems and Differential Equations
(September, 2015),
pp. 1-305, Springer International Publishing, ISBN 9783319230412 [doi] [abs] [author's comments]
- Ji, H; Witelski, T, Steady states and dynamics of a thin-film-type equation with non-conserved mass,
European Journal of Applied Mathematics, vol. 31 no. 6
(December, 2020),
pp. 968-1001, Cambridge University Press (CUP) [doi] [abs]
- Liu, W; Witelski, TP, Steady states of thin film droplets on chemically heterogeneous substrates,
IMA Journal of Applied Mathematics, vol. 85 no. 6
(November, 2020),
pp. 980-1020, Oxford University Press (OUP) [doi] [abs]
- Witelski, TP, Nonlinear dynamics of dewetting thin films,
AIMS Mathematics, vol. 5 no. 5
(January, 2020),
pp. 4229-4259 [doi] [abs]
- Dijksman, JA; Mukhopadhyay, S; Behringer, RP; Witelski, TP, Thermal Marangoni-driven dynamics of spinning liquid films,
Physical Review Fluids, vol. 4 no. 8
(August, 2019) [doi] [abs]
- Bowen, M; Witelski, TP, Pressure-dipole solutions of the thin-film equation,
European Journal of Applied Mathematics, vol. 30 no. 2
(April, 2019),
pp. 358-399 [doi] [abs]
- Gao, Y; Ji, H; Liu, JG; Witelski, TP, A vicinal surface model for epitaxial growth with logarithmic free energy,
Discrete and Continuous Dynamical Systems - Series B, vol. 23 no. 10
(December, 2018),
pp. 4433-4453, American Institute of Mathematical Sciences (AIMS) [doi] [abs]