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Flows of viscous compressible fluids under strong stratification: incompressible limits for long-range potential forces

SYSNO ASEP	0369711
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Flows of viscous compressible fluids under strong stratification: incompressible limits for long-range potential forces
Author(s)	Feireisl, Eduard (MU-W)_{RID, SAI, ORCID}
Source Title	Mathematical Models and Methods in Applied Sciences. - : World Scientific Publishing - ISSN 0218-2025 Roč. 21, č. 1 (2011), s. 7-27
Number of pages	21 s.
Language	eng - English
Country	SG - Singapore
Keywords	compressible Navier-Stokes system ; low Mach number limit ; RAGE theorem
Subject RIV	BA - General Mathematics
R&D Projects	GA201/08/0315 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000287370100002
EID SCOPUS	79851514667
DOI	10.1142/S0218202511004964
Annotation	We study the singular limit of the compressible Navier–Stokes system in the whole space ℝ3, where the Mach number and Froude number are proportional to a small parameter ε → 0. The central issue is the local decay of the acoustic energy proved by means of the RAGE theorem. The result is quite general and the proposed approach can be applied to a large variety of problems that concern propagation of acoustic waves in compressible fluids. In particular, the method can be used for showing stability of various numerical schemes based on the so-called hybrid methods.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1