A regularity criterion for a fluid system with the linear Soret effect

DOI10.1016/J.AML.2011.07.019zbMath1277.76011OpenAlexW2036838514MaRDI QIDQ659827

Gen Nakamura, Jishan Fan, Yong Zhou

Publication date: 24 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.019

zbMATH Keywords

Besov spaceregularity criterionfluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (1)

Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data

Cites Work

• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• The energy method, stability, and nonlinear convection.
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Commutator estimates and the euler and navier-stokes equations

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