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Stability of weak solutions to the compressible Navier–Stokes equations in bounded annular domains
Author(s) -
Fan Jishan,
Gao Hongjun
Publication year - 2007
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.899
Subject(s) - mathematics , polytropic process , bounded function , lipschitz continuity , mathematical analysis , compressibility , navier–stokes equations , stability (learning theory) , classical mechanics , mechanics , physics , machine learning , computer science
We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the Navier–Stokes equations of a viscous polytropic ideal gas in bounded annular domains with the initial data in the Lebesgue spaces. Copyright © 2007 John Wiley & Sons, Ltd.