Dissipative structures in a soluble non-linear reaction-diffusion system

1977 ◽  
Vol 60 (5) ◽  
pp. 389-391 ◽  
Author(s):  
R. Lefever ◽  
M. Herschkowitz-Kaufman ◽  
J.W. Turner
Keyword(s):  
Reaction Diffusion ◽  
Dissipative Structures ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Linear Reaction ◽  
Non Linear

The Phenomenon of Quenching for a Reaction-Diffusion System with Non-Linear Boundary Conditions

2021 ◽  
Vol 88 (1-2) ◽  
pp. 155
Author(s):  
Halima Nachid ◽  
F. N'Gohisse ◽  
N'Guessan Koffi
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Reaction Diffusion ◽  
Nonlinear Boundary Conditions ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Lower And Upper Bounds ◽  
Linear Reaction ◽  
The One ◽  
Quenching Time

We study the quenching behavior of the solution of a semi- linear reaction-diffusion system with nonlinear boundary conditions. We prove that the solution quenches in finite time and its quenching time goes to the one of the solution of the differential system. We also obtain lower and upper bounds for quenching time of the solution.

Non-linear dynamics of a self-igniting reaction–diffusion system

2000 ◽  
Vol 55 (2) ◽  
pp. 303-309 ◽  
Author(s):  
G Continillo ◽  
V Faraoni ◽  
P.L Maffettone ◽  
S Crescitelli
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Linear Dynamics ◽  
Non Linear
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