Global regularity for the 2D non-diffusive Boussinesq equations with anisotropic critical dissipation

DOI10.3934/DCDSS.2023134zbMATH Open1539.35197MaRDI QIDQ6546794

Zhuan Ye, Boqing Dong, Jingbo Wu

Publication date: 30 May 2024

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

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• Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
• On the global well-posedness for Boussinesq system
• Global regularity results for the 2D Boussinesq equations with partial dissipation
• On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature
• Global well-posedness of the viscous Boussinesq equations
• Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary
• Global regularity results for the 2D Boussinesq equations and micropolar equations with partial dissipation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• Finite-time singularity formation for strong solutions to the Boussinesq system
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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