Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation

DOI10.3934/cpaa.2021005zbMath1467.35280arXiv1912.03148OpenAlexW2994356986MaRDI QIDQ2032075

Raphaël Côte, Frédéric Valet

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03148

zbMATH Keywords

weak turbulenceZakharov-Kuznetsov equationgrowth of high Sobolev norms

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Transition to turbulence (76F06)

Related Items (1)

Asymptotic 𝐾-soliton-like solutions of the Zakharov-Kuznetsov type equations

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