On the Gevrey regularity of solutions to the 3D ideal MHD equations

DOI10.3934/DCDS.2019281zbMath1428.35350arXiv1702.06840OpenAlexW2591086428WikidataQ127301603 ScholiaQ127301603MaRDI QIDQ2272755

Chaojiang Xu, Feng Cheng

Publication date: 20 September 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06840

zbMATH Keywords

analyticityGevrey class regularityincompressible magnetohydrodynamic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Unilateral rigidity from infinity for nonlinear Alfvén waves in ideal magnetohydrodynamics ⋮ On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space

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