Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics

Wen Zhang; Jianwen Zhang

Applications of Mathematics (2012)

  • Volume: 57, Issue: 2, page 109-128
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Zhang, Wen, and Zhang, Jianwen. "Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics." Applications of Mathematics 57.2 (2012): 109-128. <http://eudml.org/doc/246220>.

@article{Zhang2012,
abstract = {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.},
author = {Zhang, Wen, Zhang, Jianwen},
journal = {Applications of Mathematics},
keywords = {reactive and radiative gas; global solution; global a priori estimates; reactive and radiative gas; global solution; global a priori estimate},
language = {eng},
number = {2},
pages = {109-128},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics},
url = {http://eudml.org/doc/246220},
volume = {57},
year = {2012},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 109
EP - 128
AB - 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.
LA - eng
KW - reactive and radiative gas; global solution; global a priori estimates; reactive and radiative gas; global solution; global a priori estimate
UR - http://eudml.org/doc/246220
ER -

References

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