On the existence of long-time classical solutions for the 2D inviscid Boussinesq equations

DOI10.1155/2021/5541403zbMath1477.35183OpenAlexW3176648316MaRDI QIDQ2240186

Li Shan Liu, Jiafa Xu

Publication date: 8 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5541403

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35)

Cites Work

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• Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations
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• Global well-posedness of the viscous Boussinesq equations
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Small global solutions to the damped two-dimensional Boussinesq equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Vorticity and Incompressible Flow
• Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
• Sharp Decay Estimates for an Anisotropic Linear Semigroup and Applications to the Surface Quasi-Geostrophic and Inviscid Boussinesq Systems
• Endpoint Strichartz estimates
• Local existence and blow-up criterion for the Boussinesq equations
• On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term
• On the regularity for the Boussinesq equations in a bounded domain
• Fourier transforms of surface-carried measures and differentiability of surface averages

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