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On the domain dependence of solutions to the compressible Navier–Stokes equations of a barotropic fluid
Author(s) -
Feireisl Eduard,
Novotný Antonín,
Petzeltová Hana
Publication year - 2002
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.327
Subject(s) - barotropic fluid , smoothness , mathematics , compact space , domain (mathematical analysis) , compressibility , mathematical analysis , set (abstract data type) , navier–stokes equations , extension (predicate logic) , compressible flow , thermodynamics , computer science , mechanics , physics , programming language
We prove a general compactness result for the solution set of the compressible Navier–Stokes equations with respect to the variation of the underlying spatial domain. Among various corollaries, we then prove a general existence theorem for the system in question with no restrictions on smoothness of the spatial domain. Copyright © 2002 John Wiley & Sons, Ltd.