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Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries
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SYSNO ASEP 0340508 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID Source Title Communications in Mathematical Physics. - : Springer - ISSN 0010-3616
Roč. 294, č. 1 (2010), s. 73-95Number of pages 23 s. Language eng - English Country US - United States Keywords Navier-Stokes-Fourier system ; low Mach number limit ; unbounded domain 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 000272614400004 EID SCOPUS 72249105310 DOI 10.1007/s00220-009-0954-6 Annotation We study the incompressible limit for the full Navier-Stokes-Fourier system on unbounded domains with boundaries, supplemented with the complete slip boundary condition for the velocity field. Using an abstract result of Tosio Kato we show that the energy of acoustic waves decays to zero on any compact subset of the physical space. This in turn implies strong convergence of the velocity field to its limit in the incompressible regime. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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