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arXiv · 2509.19015

Global well-posedness and large-time behavior for three-dimensional magneto-micropolar equations with horizontal dissipation

Peng Lu·Yuanyuan Qiao
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Abstract

This paper is concerned with the stability and large-time behavior for 3D magneto-micropolar equations with horizontal dissipation. The global well-posedness of the aforementioned system is established, with the initial data and its vertical derivatives required to be sufficiently small in $L^2$ space. Moreover, we obtain the optimal decay rates for the $H^1$-norm of the solution. The proofs of our main results rely on the special structure of the equations and anisotropic Sobolev-type inequalities.

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Peng Lu, Yuanyuan Qiao. 2025-09-23. Global well-posedness and large-time behavior for three-dimensional magneto-micropolar equations with horizontal dissipation. https://arxiv.org/abs/2509.19015

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