THE GLOBAL WELL-POSEDNESS FOR THE COMPRESSIBLE FLUID MODEL OF KORTEWEG TYPE

被引：14

作者：

Murata, Miho ^{[1
]}

Shibata, Yoshihiro ^{[2
]}

机构：

[1] Kanagawa Univ, Dept Math, Kanagawa Ku, Yokohama, Kanagawa 2218686, Japan

[2] Waseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2020年 / 52卷 / 06期

关键词：

Navier-Stokes-Korteweg system; global well-posedness; maximal regularity; long-time behavior; OPTIMAL DECAY-RATES; EQUATIONS; EXISTENCE; REGULARITY; SYSTEM;

D O I：

10.1137/19M1282076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the compressible fluid model of Korteweg type which can be used as a phase transition model. It is shown that the system admits a unique, global strong solution for small initial data in R-N, 3 <= N <= 7. In this study, the main tools are the maximal L-p-L-q regularity and L-p-L-q decay properties of solutions to the linearized equations.

引用

页码：6313 / 6337

页数：25

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