On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces

DOI10.1155/2012/573087zbMath1246.35165OpenAlexW2062154521WikidataQ58695572 ScholiaQ58695572MaRDI QIDQ437581

Wei Yan, Zhaoyin Xiang

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/573087

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Blow-up in context of PDEs (35B44)

Related Items (4)

Sharp Decay Estimates for an Anisotropic Linear Semigroup and Applications to the Surface Quasi-Geostrophic and Inviscid Boussinesq Systems ⋮ On the well-posedness of the inviscid Boussinesq equations in the Besov-Morrey spaces ⋮ On function spaces of Lorentz-Sobolev type ⋮ Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations

Cites Work

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• On the well-posedness of the ideal MHD equations in the Triebel-Lizorkin spaces
• The boundedness of Calderón-Zygmund operators on the spaces \(\dot F_ p^{\alpha,q}\)
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Global well-posedness of the viscous Boussinesq equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Vorticity and Incompressible Flow
• The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces
• Development of singular solutions to the axisymmetric Euler equations
• Local existence and blow-up criterion for the Boussinesq equations
• On the well‐posedness of the Euler equations in the Triebel‐Lizorkin spaces
• Small-scale structures in Boussinesq convection
• Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
• Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces

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