Duke Applied Mathematics

Research Interests for Thomas P. Witelski

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   (search)

1. 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]
2. 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]
3. 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]
4. Witelski, TP, Nonlinear dynamics of dewetting thin films, AIMS Mathematics, vol. 5 no. 5 (January, 2020), pp. 4229-4259 [doi] [abs]
5. 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]
6. 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]
7. 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]