Large deviations for infinite dimensional and reversible reaction-diffusion processes

1996 ◽  
Vol 12 (3) ◽  
pp. 300-307
Author(s):  
Jinwen Chen
Keyword(s):  
Large Deviations ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Reversible Reaction ◽  
Infinite Dimensional

Ergodicity of reversible reaction diffusion processes

1990 ◽  
Vol 85 (1) ◽  
pp. 13-26 ◽  
Author(s):  
Wan-Ding Ding ◽  
Richard Durrett ◽  
Thomas M. Liggett
Keyword(s):  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Reversible Reaction

scholarly journals Infinite Dimensional Port Hamiltonian Representation of reaction diffusion processes★

2015 ◽  
Vol 48 (1) ◽  
pp. 476-481 ◽  
Author(s):  
W. Zhou ◽  
B. Hamroun ◽  
Y. Le Gorrec ◽  
F. Couenne
Keyword(s):  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Infinite Dimensional

scholarly journals Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems

2005 ◽  
Vol 2005 (3) ◽  
pp. 273-288 ◽  
Author(s):  
Ahmed Y. Abdallah
Keyword(s):  
Dynamical System ◽  
Hilbert Space ◽  
Upper Semicontinuity ◽  
Reaction Diffusion ◽  
Dimensional Lattice ◽  
Reaction Diffusion Systems ◽  
Infinite Dimensional ◽  
Diffusion Systems ◽  
Lattice Dynamical System ◽  
Lattice Dynamical Systems

We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert spacel2×l2. Such a system is similar to the discretized FitzHugh-Nagumo system in neurobiology, which is an adequate justification for its study.

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