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On compactness of the velocity field in the incompressible limit of the full Navier–Stokes–Fourier system on large domains
Author(s) -
Feireisl Eduard,
Poul Lukáš
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1087
Subject(s) - mathematics , mathematical analysis , fourier transform , compressibility , limit (mathematics) , mach number , vector field , radius , field (mathematics) , compact space , navier–stokes equations , physics , geometry , mechanics , pure mathematics , computer security , computer science
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. Copyright © 2008 John Wiley & Sons, Ltd.