Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem

DOI10.1016/j.aim.2019.01.028zbMath1411.35179arXiv1704.06596OpenAlexW2607746611MaRDI QIDQ1735497

Nader Masmoudi, Slim Ibrahim, Manuel V. Gnann

Publication date: 28 March 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06596

zbMATH Keywords

stabilitytraveling wavesfree boundary problemsfourth-order equationthin film equationdegenerate-parabolic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Thin fluid films (76A20) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Higher-order parabolic equations (35K25) Classical solutions to PDEs (35A09)

Related Items (9)

Zero-contact angle solutions to stochastic thin-film equations ⋮ 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 ⋮ Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation ⋮ Weak solution of non-Newtonian polytropic variational inequality in fresh agricultural product supply chain problem ⋮ Convergence to sharp traveling waves of solutions for Burgers-Fisher-KPP equations with degenerate diffusion ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ 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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