Zobrazeno 1 - 10
of 175
pro vyhledávání: '"Witelski, Thomas"'
Autor:
Orizaga, Saulo, Witelski, Thomas
Publikováno v:
Computational Materials Science -2024 - in production
We explore a class of splitting schemes employing implicit-explicit (IMEX) time-stepping to achieve accurate and energy-stable solutions for thin-film equations and Cahn-Hilliard models with variable mobility. This splitting method incorporates a lin
Externí odkaz:
http://arxiv.org/abs/2405.19483
In this paper, we investigate the tumor instability by employing both analytical and numerical techniques to validate previous results and extend the analytical findings presented in a prior study by Feng et al 2023. Building upon the insights derive
Externí odkaz:
http://arxiv.org/abs/2401.04954
Autor:
Ji, Hangjie, Witelski, Thomas P.
A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations and break up into slowly evolving interacting droplets. A reduced-ord
Externí odkaz:
http://arxiv.org/abs/2303.14728
Autor:
Liu, Weifan, Witelski, Thomas P.
We study steady-state thin films on a chemically heterogeneous substrates of finite size, subject to no-flux boundary conditions. Based on the structure of the bifurcation diagram, we classify the one-dimensional steady-state solutions that exist on
Externí odkaz:
http://arxiv.org/abs/2002.11286
Autor:
Chapman, S. Jonathan, Dallaston, Michael C., Kalliadasis, Serafim, Trinh, Philippe H., Witelski, Thomas P.
Publikováno v:
In Physica D: Nonlinear Phenomena November 2023 453
Autor:
Ji, Hangjie, Witelski, Thomas P.
We study the steady states and dynamics of a thin film-type equation with non-conserved mass in one dimension. The evolution equation is a nonlinear fourth-order degenerate parabolic PDE motivated by a model of volatile viscous fluid films allowing f
Externí odkaz:
http://arxiv.org/abs/1903.06987
Publikováno v:
Phys. Rev. Fluids 4, 084103 (2019)
Spin coating of thin films of viscous liquids on a rotating substrate is a core technological component of semiconductor microchip fabrication. The thinning dynamics is influenced by many physical processes. Specifically temperature gradients affect
Externí odkaz:
http://arxiv.org/abs/1806.10595
Autor:
Ji, Hangjie, Witelski, Thomas P.
Publikováno v:
Phys. Rev. Fluids 3, 024001 (2018)
Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation and fluid evaporation governed by a one-sided model in a low Reynolds n
Externí odkaz:
http://arxiv.org/abs/1709.00051
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. B, 23 (2018) 4433-4453
We study a continuum model for solid films that arises from the modeling of one-dimensional step flows on a vicinal surface in the attachment-detachment-limited regime. The resulting nonlinear partial differential equation, $u_t = -u^2(u^3+\alpha u)_
Externí odkaz:
http://arxiv.org/abs/1705.02924
Publikováno v:
Physica D, 350 (2017) 13-25
Motivated by a model proposed by Peng et al. [Advances in Coll. and Interf. Sci. 206 (2014)] for break-up of tear films on human eyes, we study the dynamics of a generalized thin film model. The governing equations form a fourth-order coupled system
Externí odkaz:
http://arxiv.org/abs/1701.00853