Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation

DOI10.1016/j.jde.2014.01.038zbMath1452.76030OpenAlexW2095447308MaRDI QIDQ2440043

Xiaojing Xu, Liutang Xue

Publication date: 26 March 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.01.038

zbMATH Keywords

commutator estimates2D inviscid Boussinesq systemcritical and supercritical dissipationYudovich-type data

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44)

Related Items (14)

On the global regularity of the 2D Boussinesq equations with fractional dissipation ⋮ The global attractor of the 2D Boussinesq system with fractional vertical dissipation ⋮ Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation ⋮ Persistence of global well-posedness for the 2D Boussinesq equations with fractional dissipation ⋮ The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case ⋮ Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation ⋮ Global well-posedness for the 2D Euler-Boussinesq-Bénard equations with critical dissipation ⋮ Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature ⋮ The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations ⋮ Remarks on global regularity of the 2D Boussinesq equations with fractional dissipation ⋮ Remarks on the improved regularity criterion for the 2D Euler-Boussinesq equations with supercritical dissipation ⋮ On the regularity criterion for the 2D Boussinesq equations involving the temperature ⋮ Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation ⋮ The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain

Cites Work

• Unnamed Item
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• On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
• Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovich's type data
• A frequency localized maximum principle applied to the 2D quasi-geostrophic equation
• Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
• On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
• Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
• Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
• Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
• Hydrodynamics in Besov spaces
• Global well-posedness of the viscous Boussinesq equations
• A maximum principle applied to quasi-geostrophic equations
• On a maximum principle and its application to the logarithmically critical Boussinesq system
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• Vorticity and Incompressible Flow
• Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
• Large time decay and growth for solutions of a viscous Boussinesq system
• Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
• On the global well-posedness of the Boussinesq system with zero viscosity
• Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux
• Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
• Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces

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