Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction-diffusion systems

Abstract

Our focus are energy estimates for discretized reaction-diffusion systems for a finite number of species. We introduce a discretization scheme (Voronoi finite volume in space and fully implicit in time) which has the special property that it preserves the main features of the continuous systems, namely positivity, dissipativity and flux conservation. For a… (More)

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