On compactness of the velocity field in the incompressible limit of the full Navier-Stokes-Fourier system on large domains

0333111 - MÚ 2010 RIV GB eng J - Journal Article
Feireisl, Eduard - Poul, Lukáš
On compactness of the velocity field in the incompressible limit of the full Navier-Stokes-Fourier system on large domains.
Mathematical Methods in the Applied Sciences. Roč. 32, č. 10 (2009), s. 1269-1286. ISSN 0170-4214. E-ISSN 1099-1476
R&D Projects: GA AV ČR(CZ) IAA100190606
Institutional research plan: CEZ:AV0Z10190503
Keywords : low Mach number limit * Navier-Stokes-Fourier system * large domain
Subject RIV: BA - General Mathematics
Impact factor: 0.808, year: 2009

The incompressible limit for the full Navier-Stokes-Fourier system is studied on a family of domains containing balls of the radius growing with a speed that dominates the inverse of the Mach number. It is shown that the velocity field converges strongly to its limit locally in space, in particular, the effect of the sound waves is eliminated by means of the local decay estimates for the acoustic wave equation.
Permanent Link: http://hdl.handle.net/11104/0178179