On the well-posedness for the 2D micropolar Rayleigh-Bénard convection problem

DOI10.1007/s00033-020-01454-xzbMath1464.35262OpenAlexW3119146176MaRDI QIDQ2026441

Liening Qiao, Mingxue Zhang, Fu Yi Xu

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01454-x

zbMATH Keywords

local well-posednesssmooth solutionglobal regularityblow-up criterionmicropolar Rayleigh-Bénard convection problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) Free convection (76R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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 ⋮ Large time behavior of weak solutions to d-dimensional micropolar Rayleigh-Bénard problem ⋮ 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 ⋮ 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

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