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.
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页数：31
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