Global well-posedness and decay estimates for three-dimensional compressible Navier-Stokes-Allen-Cahn systems

被引：8

作者：

Zhao, Xiaopeng ^{[1
]}

机构：

[1] Northeastern Univ, Coll Sci, Shenyang 110004, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2022年 / 152卷 / 05期

关键词：

Compressible Navier-Stokes-Allen-Cahn equations; decay estimates; global well-posedness; pure energy method; 2-PHASE INCOMPRESSIBLE FLOWS; PHASE-FIELD MODEL; STABILITY; FLUIDS;

D O I：

10.1017/prm.2021.58

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the small data global well-posedness and time-decay rates of solutions to the Cauchy problem for three-dimensional compressible Navier-Stokes-Allen-Cahn equations via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained, the (H) over dot(-s) (0 <= s < 3/2) negative Sobolev norms is shown to be preserved along time evolution and enhance the decay rates.

引用

页码：1291 / 1322

页数：32

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