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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13586 |
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| _version_ | 1866915160966299648 |
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| author | Enomoto, Yuko Shibata, Yoshihiro |
| author_facet | Enomoto, Yuko Shibata, Yoshihiro |
| contents | In this paper, we consider the Stokes equations with non-homogeneous free boundary conditions, which is obtained by the linearization procedure of the free boundary problem of the Navier-Stokes equations describing the viscous compressible fluid flows. We prove the $L_1$ maximal regularity of solutions to this Stokes equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13586 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the $L_1$-maximal regularity in the study of free boundary problem for the compressible fluid flows Enomoto, Yuko Shibata, Yoshihiro Analysis of PDEs 76N10, 35Q30 In this paper, we consider the Stokes equations with non-homogeneous free boundary conditions, which is obtained by the linearization procedure of the free boundary problem of the Navier-Stokes equations describing the viscous compressible fluid flows. We prove the $L_1$ maximal regularity of solutions to this Stokes equations. |
| title | On the $L_1$-maximal regularity in the study of free boundary problem for the compressible fluid flows |
| topic | Analysis of PDEs 76N10, 35Q30 |
| url | https://arxiv.org/abs/2502.13586 |