Logarithmically improved regularity criteria for a fluid system with the linear Soret effect

DOI10.1155/2012/420721zbMath1253.35131OpenAlexW2139468862WikidataQ58696590 ScholiaQ58696590MaRDI QIDQ1925361

Minglei Zang, Xiaoyan Guan

Publication date: 18 December 2012

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

Full work available at URL: https://doi.org/10.1155/2012/420721

zbMATH Keywords

3D fluid systemlinear Soret effect

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35)

Cites Work

• Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data
• A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity
• Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
• The onset of convection in a couple stress fluid saturated porous layer using a thermal non-equilibrium model
• Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• The energy method, stability, and nonlinear convection.
• Logarithmically improved criteria for Euler and Navier-Stokes equations
• Serrin-type blow-up criteria for 3D Boussinesq equations
• Commutator estimates and the euler and navier-stokes equations
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

This page was built for publication: Logarithmically improved regularity criteria for a fluid system with the linear Soret effect