Global existence and uniqueness of the 2D damped wave-type MHD equations

DOI10.1007/s00033-023-02042-5zbMath1518.35555OpenAlexW4381741874MaRDI QIDQ6116116

Wen-Juan Wang, Weixian Sun

Publication date: 17 July 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-023-02042-5

zbMATH Keywords

uniquenessglobal existencedamped wave-type MHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Global regularity for a class of generalized magnetohydrodynamic equations
• On global regularity of 2D generalized magnetohydrodynamic equations
• Global Cauchy problem of 2D generalized MHD equations
• Remark on the global regularity of 2D MHD equations with almost Laplacian magnetic diffusion
• Global regularity of 2D almost resistive MHD equations
• Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier-Sobolev space
• Global regularity of 2D generalized MHD equations with magnetic diffusion
• Vorticity and Incompressible Flow
• Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space
• The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion

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