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

Yuko Enomoto; Yoshihiro Shibata

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

Analysis of PDEs 2025-02-20 v1

Authors: Yuko Enomoto , Yoshihiro Shibata

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.

Keywords

$L_1$ maximal regularity Stokes equations free boundary problem compressible fluid flows Navier-Stokes equations

Cite

@article{arxiv.2502.13586,
  title  = {On the $L_1$-maximal regularity in the study of free boundary problem for the compressible fluid flows},
  author = {Yuko Enomoto and Yoshihiro Shibata},
  journal= {arXiv preprint arXiv:2502.13586},
  year   = {2025}
}

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