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arXiv · 2502.13586

On the $L_1$-maximal regularity in the study of free boundary problem for the compressible fluid flows

Yuko Enomoto·Yoshihiro Shibata
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Abstract

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.

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Yuko Enomoto, Yoshihiro Shibata. 2025-02-19. On the $L_1$-maximal regularity in the study of free boundary problem for the compressible fluid flows. https://arxiv.org/abs/2502.13586

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