A nonhomogeneous boundary value problem for the Kuramoto–Sivashinsky equation in a quarter plane

DOI10.1002/MMA.4413zbMath1398.35105arXiv1607.00506OpenAlexW2471910129MaRDI QIDQ5374343

Zhixiong Zhang, Jing Li, Bing-Yu Zhang

Publication date: 10 April 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00506

zbMATH Keywords

well-posednessKuramoto-Sivashinsky equationinitial boundary value problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

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