Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions

被引：2

作者：

Basaric, Danica ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2020年 / 27卷 / 06期

关键词：

Measure-valued solution of the Euler system; Vanishing viscosity limit for the compressible Navier-Stokes system; Weak (measure-valued)-strong uniqueness principle; General (unbounded) domain; WEAK-STRONG UNIQUENESS; EULER EQUATIONS;

D O I：

10.1007/s00030-020-00659-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We identify a class ofmeasure-valuedsolutions of the barotropic Euler system on a general (unbounded) spatial domain as a vanishing viscosity limit for the compressible Navier-Stokes system. Then we establish the weak (measure-valued)-strong uniqueness principle, and, as a corollary, we obtain strong convergence to the Euler system on the lifespan of the strong solution.

引用

页数：31

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