Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation

DOI10.4310/CMS.2020.V18.N4.A5zbMath1464.35230arXiv1904.06006OpenAlexW3045576596MaRDI QIDQ2023540

Xiaoxiao Suo, Jiahong Wu, Huan Yu, Quan-sen Jiu

Publication date: 3 May 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06006

zbMATH Keywords

weak solutionuniquenessBesov spacesmagnetohydrodynamic 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) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Global well-posedness of 2D incompressible magnetohydrodynamic equations with horizontal dissipation ⋮ The 2D magnetohydrodynamic system with Euler‐like velocity equation and partial magnetic diffusion ⋮ Stability for a system of 2D incompressible anisotropic magnetohydrodynamic equations ⋮ Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion ⋮ Local existence for the d‐dimensional magneto‐micropolar equations with fractional dissipation in Besov spaces ⋮ Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation ⋮ Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the \(L^p\) framework ⋮ Existence and uniqueness of local weak solution of \(d\)-dimensional fractional micropolar Rayleigh-Bénard convection system without thermal diffusion in Besov space

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