Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation

DOI10.1186/s13661-018-0988-9zbMath1499.35510OpenAlexW2803256121MaRDI QIDQ2126386

Lei Zhang, Liangliang Ma

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-0988-9

zbMATH Keywords

weak solutionregularity criteriathermal diffusivityBénard systempartial dissipation

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) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (7)

Blow-up criteria for the 2½D magnetic Bénard fluid system with partial viscosity ⋮ Global existence for the 2D anisotropic Bénard equations with partial variable viscosity ⋮ Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity ⋮ Blow-up criteria and regularity criterion for the three-dimensional magnetic Bénard system in the multiplier space ⋮ Blow-up criteria of smooth solutions for magnetic Bénard system with partial viscosity ⋮ Blow-up criteria for the 3D Bénard system in Besov spaces ⋮ Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity

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