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

0340508 - MÚ 2010 RIV US eng J - Journal Article
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
R&D Projects: GA ČR GA201/08/0315
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes-Fourier system * low Mach number limit * unbounded domain
Subject RIV: BA - General Mathematics
Impact factor: 2.000, year: 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.
Permanent Link: http://hdl.handle.net/11104/0183723