Global well-posedness and global attractor for two-dimensional Zakharov-Kuznetsov equation

DOI10.1007/s10114-020-9381-6zbMath1467.35294arXiv1810.02984OpenAlexW3083243743MaRDI QIDQ2024974

Min Jie Shan

Publication date: 4 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02984

zbMATH Keywords

global attractorglobal well-posednessZakharov-Kuznetsov equation\(I\)-methodatomic spaces

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Initial-boundary value problems on a half-strip for the generalized Kawahara-Zakharov-Kuznetsov equation ⋮ Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation ⋮ Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices ⋮ Unnamed Item ⋮ Lower bounds on the radius of spatial analyticity for the 2D generalized Zakharov-Kuznetsov equation ⋮ Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space

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