Compressible Fluids Driven by Stochastic Forcing: The Relative Energy Inequality and Applications

被引：22

作者：

Breit, Dominic ^{[1
]}

Feireisl, Eduard ^{[2
]}

Hofmanova, Martina ^{[3
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Acad Sci Czech Republ, Inst Math, Zitna 25, CR-11567 Prague 1, Czech Republic

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 350卷 / 02期

基金：

欧洲研究理事会;

关键词：

NAVIER-STOKES EQUATIONS; GLOBAL EXISTENCE; EULER EQUATIONS; VISCOUS FLUIDS; WEAK SOLUTIONS; NOISE; LAW;

D O I：

10.1007/s00220-017-2833-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show the relative energy inequality for the compressible Navier-Stokes system driven by a stochastic forcing. As a corollary, we prove the weak-strong uniqueness property (pathwise and in law) and convergence of weak solutions in the inviscid-incompressible limit. In particular, we establish a Yamada-Watanabe type result in the context of the compressible Navier-Stokes system, that is, pathwise weak-strong uniqueness implies weak-strong uniqueness in law.

引用

页码：443 / 473

页数：31

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