Solvability of a boundary value problem for steady Stokes equations in a sectorial domain

被引：0

作者：

Kusaka, Yoshiaki ^{[1
]}

机构：

[1] Tamagawa Univ, Fac Engn, Dept Math, 6-1-1 Tamagawa Gakuen, Machida, Tokyo 1948610, Japan

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2024年 / 10卷 / 02期

关键词：

Stokes equations; Sectorial domain; Surface tension; Weighted Sobolev spaces; CONTACT; STABILITY; PLANE;

D O I：

10.1007/s41808-024-00281-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a boundary value problem for steady Stokes equations in a sectorial domain. The problem appears in the analysis of a free boundary problem for Navier-Stokes equations that describe the non-steady motion of an incompressible viscous capillary fluid with moving contact points. We prove the existence of a unique solution in weighted Sobolev spaces and derive estimates in the norms of these spaces.

引用

页码：839 / 858

页数：20

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