$L^2$ decay estimates of weak solutions to 3D fractional MHD equations in exterior domains

Zhi-Min Chen; Bo-Qing Dong; Qiuyue Zhang

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arXiv · 2501.17179

$L^2$ decay estimates of weak solutions to 3D fractional MHD equations in exterior domains

Zhi-Min Chen·Bo-Qing Dong·Qiuyue Zhang

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Abstract

Consider three-dimensional fractional MHD equations in an exterior domain with the Dirichlet boundary condition assumed. Asymptotic behaviours of weak solutions to the three-dimensional exterior fractional MHD equations are studied. $L^2$ decay estimates of the weak solutions are obtained.

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Zhi-Min Chen, Bo-Qing Dong, Qiuyue Zhang. 2025-01-24. $L^2$ decay estimates of weak solutions to 3D fractional MHD equations in exterior domains. https://arxiv.org/abs/2501.17179

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