Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries

0340508 - MÚ 2010 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard
Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries.
Communications in Mathematical Physics. Roč. 294, č. 1 (2010), s. 73-95. ISSN 0010-3616. E-ISSN 1432-0916
Grant CEP: GA ČR GA201/08/0315
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Navier-Stokes-Fourier system * low Mach number limit * unbounded domain
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.000, rok: 2010
http://link.springer.com/article/10.1007%2Fs00220-009-0954-6

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.
Trvalý link: http://hdl.handle.net/11104/0183723