Global regularity for the 2D MHD and tropical climate model with horizontal dissipation

DOI10.1007/s00332-021-09759-5OpenAlexW3207186034MaRDI QIDQ2051529

Ning Zhu, Marius Paicu

Publication date: 24 November 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13435

zbMATH Keywords

asymptotic behaviorglobal regularityMHD equationshorizontal dissipationtropical climate model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (7)

Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping ⋮ Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction ⋮ On the role of the displacement current and the Cattaneo's law on boundary layers of plasma ⋮ Time-periodic solutions for 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion ⋮ 3D anisotropic Navier–Stokes equations in T2×R  : stability and large-time behaviour ⋮ Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion ⋮ Global attractors for the three-dimensional tropical climate model with damping terms

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