Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity

DOI10.1063/1.4878495zbMath1338.35358arXiv1210.2468OpenAlexW2008318804MaRDI QIDQ5171352

Jishan Fan, Gen Nakamura, Fu-Cai Li

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2468

Mathematics Subject Classification ID

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

Related Items

Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain, On the 3D incompressible Boussinesq equations in a class of variant spherical coordinates, A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl, Regularity criteria to the incompressible axisymmetric Boussinesq equations, Regularity criteria for some simplified non-isothermal models for nematic liquid crystals, A 3D non-stationary Boussinesq system with Navier-slip boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
• The 2D Boussinesq equations with logarithmically supercritical velocities
• Global well-posedness for the Euler-Boussinesq system with axisymmetric data
• Global regularity results for the 2D Boussinesq equations with vertical dissipation
• Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
• Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
• Initial-boundary value problem for two-dimensional viscous Boussinesq equations
• Blow-up criteria of smooth solutions to the 3D Boussinesq system with zero viscosity in a bounded domain
• Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
• Proprietà di alcune classi di funzioni in più variabili
• On the global well-posedness for Boussinesq system
• The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
• On the uniqueness for the Boussinesq system with non linear diffusion
• Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
• Existence and uniqueness of solutions of the Boussinesq system with nonlinear thermal diffusion
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Global well-posedness of the viscous Boussinesq equations
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• Large time decay and growth for solutions of a viscous Boussinesq system
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
• On the global well-posedness of the Boussinesq system with zero viscosity
• Regularity criteria for the 3D density-dependent Boussinesq equations
• Commutator estimates and the euler and navier-stokes equations
• The initial value problem for a generalized Boussinesq model
• Local existence and blow-up criterion for the Boussinesq equations
• On the boussinesq system with non linear thermal diffusion