Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting

Author:

Degtyarev Sergey

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference45 articles.

1. Towards optimal regularity for the fourth-order thin film equation in $R^N$: Graveleau-type focusing self-similarity,;P. Alvarez-Caudevilla;Journal of Mathematical Analysis and Applications,2015

2. Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity,;D. Andreucci;Interfaces Free Bound.,2001

3. On classical solvability of the multidimensional Stefan problem for convective motion of a viscous incompressible fluid,;B. V. Bazalii;Math. USSR Sb.,1988

4. Finite speed of propagation and continuity of the interface for thin viscous flows,;F. Bernis;Adv. Differential Equations,1996

5. Finite speed of propagation for thin viscous flows when $2\leq n \leq 3$,;F. Bernis;C. R. Math. Acad. Sci. Paris,1996

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1. Droplet motion with contact-line friction: long-time asymptotics in complete wetting;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-06

2. Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions;Interfaces and Free Boundaries;2022-08-05

3. The Cox–Voinov law for traveling waves in the partial wetting regime*;Nonlinearity;2022-06-27

4. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation;Communications in Partial Differential Equations;2022-06-02

5. Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise;Archive for Rational Mechanics and Analysis;2021-07-06

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