Existence and uniqueness of local weak solution of \(d\)-dimensional fractional micropolar Rayleigh-Bénard convection system without thermal diffusion in Besov space

DOI10.1007/s10440-022-00541-7zbMath1504.35131OpenAlexW4309650771MaRDI QIDQ2105879

Taotao Hou, Bao-Quan Yuan

Publication date: 8 December 2022

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-022-00541-7

zbMATH Keywords

weak solutionexistence and uniquenessinhomogeneous Besov spacemicropolar Rayleigh-Bénard convection

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Cites Work

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• Micropolar meets Newtonian in 3D. The Rayleigh–Bénard problem for large Prandtl numbers
• Global attractor for heat convection problem in a micropolar fluid

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