The R -bounded operator families arising from the study of the barotropic compressible flows with free surface

被引：1

作者：

Zhang, Xin ^{[1
]}

机构：

[1] Waseda Univ, Fac Sci & Engn, Waseda Res Inst Sci & Engn, Shinjuku Ku, 3-4-1 Ookubo, Tokyo 1698555, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 09期

关键词：

R-boundedness; Barotropic compressible Navier-Stokes equations; Resolvent problem; Maximal regularity; Analytic semigroup; NAVIER-STOKES EQUATIONS; FOURIER MULTIPLIER THEOREMS; LARGE-TIME BEHAVIOR; VISCOUS-FLUID FLOW; L-Q REGULARITY; MOTION;

D O I：

10.1016/j.jde.2020.05.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study some model problem associated to the free boundary value problem of the barotropic compressible Navier-Stokes equations in general smooth domain with taking surface tension into account. To obtain the maximal L-p-L-q regularity property of the model problem, we prove the exis- tence of R -bounded operator families of the resolvent problem via Weis? theory on operator valued Fourier multipliers.

引用

页码：7059 / 7105

页数：47

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