Existence and regularity of solutions for a 3D coupled parabolic-elliptic equations related to magnetic relaxation
DOI10.1016/j.jmaa.2022.126735zbMath1501.35327OpenAlexW4298009750MaRDI QIDQ2097539
Publication date: 14 November 2022
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.2022.126735
regularity criterioncritical Besov spaceslocal well-posednessglobal-in-time existence3D parabolic-elliptic equations
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) A priori estimates in context of PDEs (35B45) 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)
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