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Approximating viscosity solutions of the Euler system

SYSNO ASEP	0559096
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Approximating viscosity solutions of the Euler system
Author(s)	Feireisl, Eduard (MU-W)_{RID, SAI, ORCID} Lukáčová-Medviďová, M. (DE) Schneider, S. (DE) She, Bangwei (MU-W)_{SAI, RID, ORCID}
Source Title	Mathematics of Computation. - : American Mathematical Society - ISSN 0025-5718 Roč. 91, č. 337 (2022), s. 2129-2164
Number of pages	36 s.
Language	eng - English
Country	US - United States
Keywords	barotropic Navier-Stokes system ; isentropic Euler system ; vanishing viscosity limit ; viscosity finite volume method ; oscillatory solution ; Kolmogorov hypothesis
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA21-02411S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	MU-W - RVO:67985840
UT WOS	000807429200001
EID SCOPUS	85134388474
DOI	10.1090/mcom/3738
Annotation	Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the viscosity finite volume method. Theoretical results are illustrated by numerical simulations of the Kelvin-Helmholtz instability problem.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2023
Electronic address	https://doi.org/10.1090/mcom/3738

Number of the records: 1