On the blow-up criterion for the 3D Boussinesq system with zero viscosity constant

DOI10.1080/00036811.2014.910652zbMath1436.76003OpenAlexW1977497080MaRDI QIDQ4982046

Wei Ren

Publication date: 23 March 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.910652

zbMATH Keywords

energy estimateLittlewood-Paley decompositionsingular vorticity

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Cites Work

• Unnamed Item
• On the global well-posedness for the Boussinesq system with horizontal dissipation
• Global well-posedness for the Euler-Boussinesq system with axisymmetric data
• On the global well-posedness for Boussinesq system
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• An extension of the Beale-Kato-Majda criterion for the Euler equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• On the global well-posedness of the Boussinesq system with zero viscosity
• Regularity criteria for the 3D density-dependent Boussinesq equations
• Commutator estimates and the euler and navier-stokes equations
• REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS
• Refined blow-up criterion for the 3D magnetohydrodynamics equations