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Global solutions of a radiative and reactive gas with self‐gravitation for higher‐order kinetics
Author(s) -
Qin Xulong,
Yao Zhengan
Publication year - 2012
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.2678
Subject(s) - radiative transfer , compressibility , thermodynamics , thermal conductivity , gravitation , radiant heat , order (exchange) , constant (computer programming) , physics , conductivity , thermal radiation , kinetics , scope (computer science) , mathematics , mathematical physics , chemistry , classical mechanics , materials science , economics , quantum mechanics , computer science , finance , composite material , programming language
The existence of global solutions is established for compressible Navier–Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity κ ( κ 1 (1 + θ q ) ≤ κ ≤ κ 2 (1 + θ q ), q ≥ 0), where θ is the temperature. This improves the previous results by enlarging the scope of q including the constant heat conductivity. Copyright © 2012 John Wiley & Sons, Ltd.