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Statistical solutions to the barotropic Navier-Stokes system
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SYSNO ASEP 0531874 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Statistical solutions to the barotropic Navier-Stokes system Author(s) Fanelli, F. (FR)
Feireisl, Eduard (MU-W) RID, SAI, ORCIDSource Title Journal of Statistical Physics. - : Springer - ISSN 0022-4715
Roč. 181, č. 1 (2020), s. 212-245Number of pages 34 s. Language eng - English Country US - United States Keywords compressible Navier–Stokes system ; Markov semigroup ; statistical solution Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000540279700002 EID SCOPUS 85086175077 DOI 10.1007/s10955-020-02577-1 Annotation We introduce a new concept of statistical solution in the framework of weak solutions to the barotropic Navier–Stokes system with inhomogeneous boundary conditions. Statistical solution is a family {Mt}t≥0 of Markov operators on the set of probability measures P[D] on the data space D containing the initial data [ϱ, m] and the boundary data dB.{Mt}t≥0 possesses a.a. semigroup property, (Formula presented.){Mt}t≥0 is deterministic when restricted to deterministic data, specifically (Formula presented.) where [ϱ, m] is a finite energy weak solution of the Navier–Stokes system corresponding to the data [ϱ, m, dB] ∈ D.Mt: P[D] → P[D] is continuous in a suitable Bregman–Wasserstein metric at measures supported by the data giving rise to regular solutions. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.1007/s10955-020-02577-1
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