scholarly journals Hypocoercivity and Fast Reaction Limit for Linear Reaction Networks with Kinetic Transport

2020 ◽  
Vol 178 (6) ◽  
pp. 1319-1335
Author(s):  
Gianluca Favre ◽  
Christian Schmeiser
Keyword(s):  
Reaction Networks ◽  
Fast Reaction ◽  
Linear Reaction ◽  
Fast Reaction Limit

scholarly journals EDP-convergence for a linear reaction-diffusion system with fast reversible reaction

2021 ◽  
Vol 60 (6) ◽  
Author(s):  
Artur Stephan
Keyword(s):  
Diffusion Constant ◽  
Gradient Flow ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Coarse Grained ◽  
Gradient System ◽  
Fast Reaction ◽  
Linear Reaction ◽  
Fast Reaction Limit

AbstractWe perform a fast-reaction limit for a linear reaction-diffusion system consisting of two diffusion equations coupled by a linear reaction. We understand the linear reaction-diffusion system as a gradient flow of the free energy in the space of probability measures equipped with a geometric structure, which contains the Wasserstein metric for the diffusion part and cosh-type functions for the reaction part. The fast-reaction limit is done on the level of the gradient structure by proving EDP-convergence with tilting. The limit gradient system induces a diffusion system with Lagrange multipliers on the linear slow-manifold. Moreover, the limit gradient system can be equivalently described by a coarse-grained gradient system, which induces a diffusion equation with a mixed diffusion constant for the coarse-grained slow variable.

Variance of filtered signals: Characterization for linear reaction networks and application to neurotransmission dynamics

2021 ◽  
pp. 108760
Author(s):  
Ariane Ernst ◽  
Christof Schütte ◽  
Stephan J. Sigrist ◽  
Stefanie Winkelmann
Keyword(s):  
Reaction Networks ◽  
Linear Reaction

Fast Reaction Limit of the Discrete Diffusive Coagulation–Fragmentation Equation

2003 ◽  
Vol 28 (5-6) ◽  
pp. 1113-1133 ◽  
Author(s):  
Miguel Escobedo ◽  
Philippe Laurençot ◽  
Stéphane Mischler
Keyword(s):  
Fast Reaction ◽  
Fast Reaction Limit ◽  
Fragmentation Equation

scholarly journals Fast-reaction limit for Glauber-Kawasaki dynamics with two components

2019 ◽  
Vol 16 (2) ◽  
pp. 957 ◽  
Author(s):  
A. De Masi ◽  
T. Funaki ◽  
E. Presutti ◽  
M. E. Vares
Keyword(s):  
Kawasaki Dynamics ◽  
Fast Reaction ◽  
Fast Reaction Limit

Identifiability of rate coefficients in linear reaction networks from isothermal transient experimental data

2010 ◽  
Vol 65 (7) ◽  
pp. 2333-2343 ◽  
Author(s):  
Raf Roelant ◽  
Denis Constales ◽  
Roger Van Keer ◽  
Guy B. Marin
Keyword(s):  
Experimental Data ◽  
Rate Coefficients ◽  
Reaction Networks ◽  
Linear Reaction
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