Relaxation Rates for a Perturbation of a Stationary Solution to the Thin-Film Equation

DOI10.1137/15M1017697zbMath1338.35043OpenAlexW254675422MaRDI QIDQ5743972

Elias Esselborn

Publication date: 9 February 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1017697

zbMATH Keywords

gradient flowlarge time behaviordegenerate parabolic equationsthin film equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Higher-order parabolic equations (35K25)

Related Items (8)

Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions ⋮ The Cox–Voinov law for traveling waves in the partial wetting regime* ⋮ Invariant manifolds for the thin film equation ⋮ The Navier-slip thin-film equation for 3D fluid films: existence and uniqueness ⋮ 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 ⋮ Relaxation to a planar interface in the Mullins-Sekerka problem ⋮ A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard Equation

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