Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
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Publication:2396840
DOI10.1016/j.na.2017.02.014zbMath1367.35135OpenAlexW2606517374MaRDI QIDQ2396840
Publication date: 26 May 2017
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.2017.02.014
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Free convection (76R10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (17)
Global well-posedness to the Cauchy problem of 2D nonhomogeneous Bénard system with large initial data and vacuum ⋮ Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation ⋮ Global well-posedness for the 2D Euler-Boussinesq-Bénard equations with critical dissipation ⋮ 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 ⋮ Local strong solutions to the nonhomogeneous Bénard system with nonnegative density ⋮ Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity ⋮ Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature ⋮ On Kato-Ponce and fractional Leibniz ⋮ Blow-up criteria of smooth solutions for magnetic Bénard system with partial viscosity ⋮ Global strong solution to the nonhomogeneous Bénard system with large initial data and vacuum ⋮ Global strong solution of nonhomogeneous Bénard system with large initial data and vacuum in a bounded domain ⋮ Global strong solution and exponential decay to the 3D Cauchy problem of nonhomogeneous Bénard system with vacuum ⋮ Global regularity results for the 2D magnetic Bénard problem with fractional dissipation ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard problem with partial dissipation ⋮ Existence and uniqueness of local weak solution of \(d\)-dimensional fractional micropolar Rayleigh-Bénard convection system without thermal diffusion in Besov space ⋮ Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity
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