A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval

DOI10.1051/cocv/2019027zbMath1446.35049OpenAlexW2941802502MaRDI QIDQ5118960

Jing Li, Bing-Yu Zhang, Zhixiong Zhang

Publication date: 28 August 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2019027

zbMATH Keywords

well-posednessdispersive Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58)

Related Items (8)

On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation ⋮ \(H^1\) solutions for a Kuramoto-Sinelshchikov-Cahn-Hilliard type equation ⋮ On the dynamics of aeolian sand ripples ⋮ \(H^1\) solutions for a Kuramoto-Velarde type equation ⋮ Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations ⋮ On a diffusion model for growth and dispersal in a population ⋮ Well-posedness result for the Kuramoto-Velarde equation ⋮ On the solutions for a Benney-Lin type equation

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