Compressible fluids driven by stochastic forcing: The relative energy inequality and applications

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00471015" target="_blank" >RIV/67985840:_____/17:00471015 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00220-017-2833-x" target="_blank" >http://dx.doi.org/10.1007/s00220-017-2833-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00220-017-2833-x" target="_blank" >10.1007/s00220-017-2833-x</a>

Result language

angličtina

Original language name

Compressible fluids driven by stochastic forcing: The relative energy inequality and applications

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Communications in Mathematical Physics

ISSN

0010-3616

e-ISSN

—

Volume of the periodical

350

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

31

Pages from-to

443-473

UT code for WoS article

000393698300002

EID of the result in the Scopus database

2-s2.0-85010934659