Limit Cycles of the Schnakenberg Chemical Reaction Model

2021 ◽  
pp. 101-109
Author(s):  
I. Kusbeyzi Aybar ◽  
B. Ferčec ◽  
O. O. Aybar ◽  
M. Dukarić
Keyword(s):  
Chemical Reaction ◽  
Limit Cycles ◽  
Reaction Model ◽  
Chemical Reaction Model

scholarly journals Development of an Uncertainty Quantification Predictive Chemical Reaction Model for Syngas Combustion

2017 ◽  
Vol 31 (3) ◽  
pp. 2274-2297 ◽  
Author(s):  
N. A. Slavinskaya ◽  
M. Abbasi ◽  
J. H. Starcke ◽  
R. Whitside ◽  
A. Mirzayeva ◽  
...  
Keyword(s):  
Uncertainty Quantification ◽  
Chemical Reaction ◽  
Reaction Model ◽  
Syngas Combustion ◽  
Chemical Reaction Model

scholarly journals Qualitative analysis of an autocatalytic chemical reaction model with decay

2014 ◽  
Vol 144 (2) ◽  
pp. 427-446 ◽  
Author(s):  
Jun Zhou ◽  
Junping Shi
Keyword(s):  
Steady State ◽  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Steady State Solution ◽  
Reaction Model ◽  
Existence Of A Solution ◽  
Positive Steady State ◽  
Chemical Reaction Model ◽  
The One ◽  
Necessary And Sufficient

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.

Coarse-Grained Chemical Reaction Model

2004 ◽  
Vol 108 (6) ◽  
pp. 1815-1821 ◽  
Author(s):  
Yaroslava G. Yingling ◽  
Barbara J. Garrison
Keyword(s):  
Chemical Reaction ◽  
Reaction Model ◽  
Coarse Grained ◽  
Chemical Reaction Model

G703 Development of Mezzo-Scale Thermo-Physical Model and Chemical Reaction Model for Supercritical Combustion Flow(1)

2007 ◽  
Vol 2007 (0) ◽  
pp. _G703-a_
Author(s):  
Nobuyuki TSUBOI ◽  
Nobuhiro YAMANISHI ◽  
Shinichi TSUDA ◽  
Youhi MORII ◽  
Kazuya SHIMIZU ◽  
...  
Keyword(s):  
Physical Model ◽  
Chemical Reaction ◽  
Reaction Model ◽  
Chemical Reaction Model ◽  
Combustion Flow ◽  
Supercritical Combustion
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