Tiantian Zhang, Existence and analyticity of global mild solutions to GMHD equations with the Coriolis force near an equilibrium, Vol. 2022 (2022), Article ID 20, pp. 1-10

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DOI: 10.23952/cot.2022.20

Received August 16, 2022; Accepted October 8, 2022; Published November 1, 2022

Abstract. In this paper, we are concerned on the existence and analyticity of global mild solutions to the three-dimensional generalized MHD equations with the Coriolis force in Lei-Lin type space. To be exact, we use the energy method and continuous argument to prove that there exists a global solution near an equilibrium with the initial value $(u_0,b_0)\in\chi^{1-2\alpha}(\mathbb{R}^{3})\cap\chi^{1-2\beta}(\mathbb{R}^{3})$ for $\frac12 \leq \alpha, \beta\leq 1$ . Moreover, the global solution is analytic for $\frac12 \leq \alpha= \beta\leq 1$ .

How to Cite this Article:
T. Zhang, Existence and analyticity of global mild solutions to GMHD equations with the Coriolis force near an equilibrium, Commun. Optim. Theory 2022 (2022) 20.