Global existence of strong solutions to the 3D isentropic compressible Navier-Stokes equations with density-dependent viscosities

被引：2

作者：

Yu, Haibo ^{[1
,2
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou, Peoples R China

[2] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期

关键词：

density-dependent viscosities; global strong solution; isentropic compressible Navier-Stokes equations; large initial data; BOUNDARY VALUE-PROBLEMS; WEAK SOLUTIONS; WELL-POSEDNESS; CLASSICAL-SOLUTIONS; DEGENERATE VISCOSITIES; VACUUM; COEFFICIENT; UNIQUENESS; FLUIDS; FLOWS;

D O I：

10.1002/mma.9106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem to the three-dimensional isentropic compressible Navier-Stokes system with density-dependent viscosities. Under the condition that the lower bound of initial density is sufficiently large, we prove that strong solutions exist globally in time. The initial data can be arbitrarily large.

引用

页码：10123 / 10136

页数：14

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