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
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.
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
Keywords: reactive and radiative gas; global solution; global a priori estimates
@article{10_1007_s10492_012_0008_9,
author = {Zhang, Wen and Zhang, Jianwen},
title = {Global existence of solutions for the {1-D} radiative and reactive viscous gas dynamics},
journal = {Applications of Mathematics},
pages = {109--128},
year = {2012},
volume = {57},
number = {2},
doi = {10.1007/s10492-012-0008-9},
mrnumber = {2899727},
zbl = {1249.35251},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0008-9/}
}
TY - JOUR AU - Zhang, Wen AU - Zhang, Jianwen TI - Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics JO - Applications of Mathematics PY - 2012 SP - 109 EP - 128 VL - 57 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0008-9/ DO - 10.1007/s10492-012-0008-9 LA - en ID - 10_1007_s10492_012_0008_9 ER -
%0 Journal Article %A Zhang, Wen %A Zhang, Jianwen %T Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics %J Applications of Mathematics %D 2012 %P 109-128 %V 57 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0008-9/ %R 10.1007/s10492-012-0008-9 %G en %F 10_1007_s10492_012_0008_9
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
Cité par Sources :