An improved regularity criterion for the 2D inviscid Boussinesq equations

DOI10.1016/j.camwa.2017.08.004zbMath1400.35056OpenAlexW2753524482MaRDI QIDQ1672668

Peng Zhang

Publication date: 11 September 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.004

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Continuation and prolongation of solutions to PDEs (35B60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (1)

On the regularity of weak solutions of the Boussinesq equations in Besov spaces

Cites Work

• Unnamed Item
• On the inviscid Boussinesq system with rough initial data
• Hölder continuous solutions of Boussinesq equation with compact support
• Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
• Commutator estimates and the euler and navier-stokes equations
• Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
• Local existence and blow-up criterion for the Boussinesq equations
• Sharp Sobolev Inequality of Logarithmic Type and the Limiting Regularity Condition to the Harmonic Heat Flow
• Small-scale structures in Boussinesq convection
• Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces

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