Number of the records: 1

On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions

SYSNO ASEP	0349262
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions
Author(s)	Donatelli, D. (IT) Feireisl, Eduard (MU-W)_{RID, SAI, ORCID} Novotný, A. (FR)
Source Title	Discrete and Continuous Dynamical Systems-Series B. - : AIMS Press - ISSN 1531-3492 Roč. 13, č. 4 (2010), s. 783-798
Number of pages	16 s.
Language	eng - English
Country	US - United States
Keywords	Navier-Stokes equations ; singular limits ; low Mach number ; compressible fluids ; unbounded domains
Subject RIV	BA - General Mathematics
R&D Projects	LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	GA201/08/0315 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000275516400006
EID SCOPUS	77953843701
DOI	10.3934/dcdsb.2010.13.783
Annotation	We study the low Mach number limit for the compressible Navier-Stokes system supplemented with Navier's boundary condition on an unbounded domain with compact boundary. Our main result asserts that the velocities converge pointwise to a solenoidal vector field - a weak solution of the incompressible Navier-Stokes system - while the fluid density becomes constant. The proof is based on a variant of local energy decay property for the underlying acoustic equation established by Kato.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1