Global well-posedness of strong solution to 2D MHD equations in critical Fourier-Herz spaces

DOI10.1016/j.jmaa.2021.125345zbMath1480.35334OpenAlexW3161218113MaRDI QIDQ2049334

Gang Wu, Zhuoya Yao, Dezai Min

Publication date: 25 August 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125345

zbMATH Keywords

global well-posednessweak-strong uniquenessFourier-Herz spaces2D MHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

Block decomposition for Herz spaces associated with ball Banach function spaces

Cites Work

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• Global well-posedness of the 3D generalized rotating magnetohydrodynamics equations
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• On the Navier-Stokes initial value problem. I
• Existence and uniqueness of solutions for Navier-Stokes equations with hyper-dissipation in a large space
• Fourier Analysis and Nonlinear Partial Differential Equations
• Ill-posedness of the 3D incompressible hyperdissipative Navier–Stokes system in critical Fourier-Herz spaces
• Global mild solutions of Navier‐Stokes equations

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