Global regularity for the 2D micropolar Rayleigh-Bénard convection system with the zero diffusivity

DOI10.1016/J.AML.2020.106508zbMath1450.35098OpenAlexW3032488280MaRDI QIDQ2005975

Meiling Chi, Fu Yi Xu

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106508

zbMATH Keywords

smooth solutionzero diffusivitymicropolar Rayleigh-Bénard convection problem

Mathematics Subject Classification ID

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

Related Items (10)

Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping ⋮ Global well-posedness for the 2D micropolar Bénard fluid system with mixed partial dissipation, angular viscosity and without thermal diffusivity ⋮ Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Global well-posedness for the 2D micropolar Bénard convection system with mixed partial viscosity ⋮ Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation ⋮ Global well-posedness for the 3D damped micropolar Bénard system with zero thermal conductivity ⋮ On the well-posedness for the 2D micropolar Rayleigh-Bénard convection problem ⋮ Global well-posedness for the 2D micropolar Rayleigh-Bénard convection problem without velocity dissipation ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard problem with partial dissipation ⋮ Existence and uniqueness of local weak solution of \(d\)-dimensional fractional micropolar Rayleigh-Bénard convection system without thermal diffusion in Besov space

Cites Work

• Global well-posedness and large-time decay for the 2D micropolar equations
• On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
• Global regularity of the 2D micropolar fluid flows with zero angular viscosity
• Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
• Global well-posedness of the viscous Boussinesq equations
• Micropolar meets Newtonian. The Rayleigh-Bénard problem
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Fourier Analysis and Nonlinear Partial Differential Equations
• Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Global attractor for heat convection problem in a micropolar fluid

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