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arXiv · 2504.11931

Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces

Yuming Qin·Junchen Liu
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Abstract

In this paper, we study the two-dimensional compressible magneto-micropolar boundary layer equations on the half-plane, which are derived from 2D compressible magneto-micropolar fluid equations with the non-slip boundary condition on velocity, Dirichlet boundary condition on micro-rotational velocity and perfectly conducting boundary condition on magnetic field. Based on a nonlinear coordinate transformation proposed in \cite{LXY2019}, we first prove the local-in-time well-posedness for the compressible magneto-micropolar boundary layer system in Sobolev spaces, provided that initial tangential magnetic field is non-degenerate.

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Yuming Qin, Junchen Liu. 2025-04-16. Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces. https://arxiv.org/abs/2504.11931

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