Vanishing dissipation limit of solutions to initial boundary value problem for three dimensional incompressible magneto-hydrodynamic equations with transverse magnetic field

DOI10.1016/j.jde.2023.07.035zbMath1529.35380OpenAlexW4385505914MaRDI QIDQ6048530

Jing Wang, Shengxin Li, Song Gao

Publication date: 11 October 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.07.035

zbMATH Keywords

initial boundary value problemMHD equationsvanishing dissipation limitconormal Sobolev estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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