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

Content Provider	Semantic Scholar
Author	Breit, Dominic Feireisl, Eduard Hofmanová, Martina
Copyright Year	2015
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.
Starting Page	443
Ending Page	473
Page Count	31
File Format	PDF HTM / HTML
DOI	10.1007/s00220-017-2833-x
Volume Number	350
Alternate Webpage(s)	http://www.math.cas.cz/fichier/preprints/IM_20151030091646_57.pdf
Alternate Webpage(s)	https://arxiv.org/pdf/1510.09001v1.pdf
Alternate Webpage(s)	http://page.math.tu-berlin.de/~hofmanov/articles/BFH_15_final.pdf
Alternate Webpage(s)	https://pureapps2.hw.ac.uk/ws/portalfiles/portal/14617494/BFH_15_final.pdf
Alternate Webpage(s)	http://export.arxiv.org/pdf/1510.09001
Alternate Webpage(s)	https://doi.org/10.1007/s00220-017-2833-x
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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