Abstract
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.
Original language | English |
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Pages (from-to) | 443–473 |
Number of pages | 31 |
Journal | Communications in Mathematical Physics |
Volume | 350 |
Issue number | 2 |
Early online date | 31 Jan 2017 |
DOIs | |
Publication status | Published - Mar 2017 |