Exponential decay toward equilibrium via entropy methods for reaction–diffusion equations
By Laurent Desvillettes, Klemens Fellner. 2006
155 citations recorded by the source corpus.
Abstract In this work, we show how the entropy method enables to get in an elementary way (and without linearization) estimates of exponential decay towards equilibrium for solutions of reaction–diffusion equations corresponding to a reversible reaction. Explicit rates of convergence combining the dissipative effects of diffusion and reaction are given.
Subfields: Control and Systems Engineering, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/c7dd5f02a65cdd1e2e262f4d1b1eef71adbd48d7
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In Control and Systems Engineering
In Modeling and Simulation
Citations in the corpus
- Global Existence of Renormalized Solutions to Entropy-Dissipating Reaction–Diffusion Systems (2015, unknown): “[8, 9, 10, 11, 29].”
- Entropy methods for reaction-diffusion equations: slowly growing a-priori bounds (2008, methodology): “As in [8], we exploit as much as possible the free energy functional of these systems.”
- Global Existence for Quadratic Systems of Reaction-Diffusion (2007, unknown): “Finally, we present briefly in an appendix a short proof of the duality argument in the simplest case (this proof is taken from [12, 13], and the a priori estimates which are obtained without using the duality argument, by an approach centered on the entropy estimate (such an approach was used for g”
- Global Existence in Reaction-Diffusion Systems with Control of Mass: a Survey (2010, background): “It is proved that in dimensions N = 1, 2 and for bounded initial data, the solutions are bounded (see [20, 26] and also [33] and its references).”