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Spherically symmetric flow for a viscous radiative and reactive gas in a field of potential forces with large initial data
Author(s) -
Zhang Lan
Publication year - 2019
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.5551
Subject(s) - radiative transfer , mathematics , infinity , domain (mathematical analysis) , flow (mathematics) , mathematical analysis , unit sphere , field (mathematics) , viscous liquid , volume (thermodynamics) , classical mechanics , mechanics , geometry , physics , pure mathematics , thermodynamics , quantum mechanics
In this article, we are concerned with the asymptotic behavior of spherically symmetric solution of a viscous radiative and reactive gas in a field of external force in an unbounded domain exterior to the unit sphere in R n for n ≥ 3. The global solution is proved to exist uniquely and converges to the stationary solution as time tends to infinity for large initial data. It is crucial to deduce uniform positive lower and upper bounds on the specific volume and the temperature.