On the well-posedness of the inviscid Boussinesq equations in the Besov-Morrey spaces

DOI10.3934/krm.2015.8.395zbMath1328.35164OpenAlexW2527314504MaRDI QIDQ888735

Qunyi Bie, Zheng-An Yao, Q. R. Wang

Publication date: 2 November 2015

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2015.8.395

zbMATH Keywords

Boussinesq equationslocal well-posednessLittlewood-Paley decompositionBesov-Morrey spaceblow-up criteria

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) Blow-up in context of PDEs (35B44) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (5)

Blow-up criterion for the density dependent inviscid Boussinesq equations ⋮ Well-posedness and stability for the generalized incompressible magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces ⋮ The regularity criterion for weak solutions to the \(n\)-dimensional Boussinesq system ⋮ Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations ⋮ Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces

Cites Work

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