scholarly journals Additive Runge-Kutta methods for H2/O2/Ar detonation with a detailed elementary chemical reaction model

2013 ◽  
Vol 58 (11) ◽  
pp. 1216-1227 ◽  
Author(s):  
Jian Li ◽  
HuiLan Ren ◽  
JianGuo Ning
2017 ◽  
Vol 31 (3) ◽  
pp. 2274-2297 ◽  
Author(s):  
N. A. Slavinskaya ◽  
M. Abbasi ◽  
J. H. Starcke ◽  
R. Whitside ◽  
A. Mirzayeva ◽  
...  

Author(s):  
Jun Zhou ◽  
Junping Shi

In this paper, we revisit a reaction—diffusion autocatalytic chemical reaction model with decay. For higher-order reactions, we prove that the system possesses at least two positive steady-state solutions; hence, it has bistable dynamics similar to the system without decay. For the linear reaction, we determine the necessary and sufficient condition to ensure the existence of a solution. Moreover, in the one-dimensional case, we prove that the positive steady-state solution is unique. Our results demonstrate the drastic difference in dynamics caused by the order of chemical reactions.


1993 ◽  
Vol 32 (Part 1, No. 3A) ◽  
pp. 1171-1181 ◽  
Author(s):  
Jun Yoshinobu ◽  
Shin-ichiro Tanaka ◽  
Mitsuaki Nishijima

2004 ◽  
Vol 108 (6) ◽  
pp. 1815-1821 ◽  
Author(s):  
Yaroslava G. Yingling ◽  
Barbara J. Garrison

2007 ◽  
Vol 2007 (0) ◽  
pp. _G703-a_
Author(s):  
Nobuyuki TSUBOI ◽  
Nobuhiro YAMANISHI ◽  
Shinichi TSUDA ◽  
Youhi MORII ◽  
Kazuya SHIMIZU ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document