Geodesic
Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics
Applications of Mathematics, Tome 57 (2012) no. 2, pp. 109-128.

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In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.
DOI : 10.1007/s10492-012-0008-9
Classification : 35A01, 35A02, 35L60, 35L65, 35N10, 35Q30, 76N15
Keywords: reactive and radiative gas; global solution; global a priori estimates 
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     title = {Global existence of solutions for the {1-D} radiative and reactive viscous gas dynamics},
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Zhang, Wen; Zhang, Jianwen. Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics. Applications of Mathematics, Tome 57 (2012) no. 2, pp. 109-128. doi : 10.1007/s10492-012-0008-9. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0008-9/

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