Blow-up criteria for three-dimensional Boussinesq equations in Triebel-Lizorkin spaces

DOI10.1155/2012/539278zbMath1253.76032OpenAlexW2102125708WikidataQ58700638 ScholiaQ58700638MaRDI QIDQ1925510

Minglei Zang

Publication date: 18 December 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/539278

zbMATH Keywords

Triebel-Lizorkin spacesLittlewood-Paley decompositionblow-up criteriathree-dimensional Boussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Stokes and related (Oseen, etc.) flows (76D07)

Cites Work

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• Regularity criteria of the 3D Boussinesq equations in the Morrey-Campanato space
• The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• Serrin-type blow-up criteria for 3D Boussinesq equations
• REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS

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