The lifespan of solutions to the inviscid 3D Boussinesq system

DOI10.1016/j.aml.2013.03.009zbMath1314.35113OpenAlexW2051786280MaRDI QIDQ2339049

Xiaojing Xu, Zhuan Ye

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.03.009

zbMATH Keywords

Besov spacesLittlewood-Paley decompositionlifespaninviscid Boussinesq system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (9)

Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations ⋮ Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces ⋮ Small global solutions to the damped two-dimensional 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 ⋮ Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum ⋮ Blow-up criterion of smooth solutions for the Boussinesq equations ⋮ On the Boussinesq system: local well-posedness of the strong solution and inviscid limits ⋮ Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data

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