The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness
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Publication:1784838
DOI10.1016/j.jde.2018.07.015zbMath1401.35354arXiv1710.09903OpenAlexW2821775784MaRDI QIDQ1784838
Manuel V. Gnann, Mircea Petrache
Publication date: 27 September 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.09903
classical solutionsfree boundarylubrication approximationmoving contact lineNavier slipfourth-order degenerate-parabolic equations
Nonlinear parabolic equations (35K55) Thin fluid films (76A20) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Higher-order parabolic equations (35K25) Classical solutions to PDEs (35A09)
Related Items (15)
Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability ⋮ Nonlinear dynamics of dewetting thin films ⋮ Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions ⋮ Existence and regularity of source-type self-similar solutions for stable thin-film equations ⋮ Local strong solutions to a quasilinear degenerate fourth-order thin-film equation ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ Thin-film equations with singular potentials: an alternative solution to the contact-line paradox ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ Invariant subspaces and exact solutions: \((1+1)\) and \((2+1)\)-dimensional generalized time-fractional thin-film equations ⋮ The stochastic thin-film equation: existence of nonnegative martingale solutions ⋮ Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem ⋮ The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations ⋮ Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting and linear mobility ⋮ Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise
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