Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917986801025024 |
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| author | Qin, Yuming Liu, Junchen |
| author_facet | Qin, Yuming Liu, Junchen |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_11931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces Qin, Yuming Liu, Junchen Analysis of PDEs 35Q35, 35Q35, 35B30, 35M33, 76W05, 76N20 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. |
| title | Local-in-time well-posedness for 2D compressible magneto-micropolar boundary layer in Sobolev spaces |
| topic | Analysis of PDEs 35Q35, 35Q35, 35B30, 35M33, 76W05, 76N20 |
| url | https://arxiv.org/abs/2504.11931 |