Abstract
This paper studies the existence and uniqueness of local weak solutions to the d-dimensional (\(d\ge 2\)) fractional micropolar Rayleigh-Bénard convection system without thermal diffusion. When the fractional dissipation index \(1\leq \alpha <1+\frac{d}{4}\), any initial data \((u_{0},\omega _{0})\in B_{2,1}^{1+\frac{d}{2}-2\alpha}(\mathbb{R}^{d})\) and \(\theta _{0}\in B_{2,1}^{1+\frac{d}{2}-\alpha}(\mathbb{R}^{d})\) yield a local unique weak solution.
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Yuan, B., Hou, T. Existence and Uniqueness of Local Weak Solution of D-Dimensional Fractional Micropolar Rayleigh-Bénard Convection System Without Thermal Diffusion in Besov Space. Acta Appl Math 182, 6 (2022). https://doi.org/10.1007/s10440-022-00541-7
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DOI: https://doi.org/10.1007/s10440-022-00541-7