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- Title
Existence and Uniqueness of Local Weak Solution of D-Dimensional Fractional Micropolar Rayleigh-Bénard Convection System Without Thermal Diffusion in Besov Space.
- Authors
Yuan, Baoquan; Hou, Taotao
- Abstract
This paper studies the existence and uniqueness of local weak solutions to the d-dimensional (d ≥ 2 ) fractional micropolar Rayleigh-Bénard convection system without thermal diffusion. When the fractional dissipation index 1 ≤ α < 1 + d 4 , any initial data (u 0 , ω 0) ∈ B 2 , 1 1 + d 2 − 2 α (R d) and θ 0 ∈ B 2 , 1 1 + d 2 − α (R d) yield a local unique weak solution.
- Subjects
RAYLEIGH-Benard convection; BESOV spaces; TRANSPORT equation
- Publication
Acta Applicandae Mathematicae, 2022, Vol 182, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-022-00541-7