Global weak solutions for the two-dimensional magnetohydrodynamic equations with partial dissipation and diffusion

DOI10.1016/j.na.2016.07.002zbMath1348.35196OpenAlexW2503379365MaRDI QIDQ739440

Dipendra Regmi

Publication date: 18 August 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.07.002

zbMATH Keywords

weak solutionsclassical solutionsglobal regularityMHD equationspartial dissipationvertical diffusion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) 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) Viscous-inviscid interaction (76D09)

Related Items

Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation, Global strong solutions of a 2-D new magnetohydrodynamic system.

Cites Work

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