Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system

Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems

In this paper, we study the large–time behavior of a numerical scheme discretizing drift– diffusion systems for semiconductors. The numerical method is finite volume in space, implicit in time, and the numerical fluxes are a generalization of the classical Scharfetter– Gummel scheme which allows to consider both linear or nonlinear pressure laws. We study the convergence of approximate solution...

On the exponential decay to equilibrium of the degenerate linear Boltzmann equation

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

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 class of Voronoi finite volume meshes ...

Exponential convexity for majorization

* Correspondence: [email protected] Department of Mathematics, University of Karachi, University Road, Karachi, Pakistan Full list of author information is available at the end of the article Abstract In this article, we give more generalized results than in Anwar et al. (2010) and Latif and Pečarić (2010) in new direction by using second-order divided difference. We investigate the expone...

Exponential Decay Towards Equilibrium for the Inhomogeneous Aizenman-Bak Model

The Aizenman-Bak model for reacting polymers is considered for spatially inhomogeneous situations in which they diffuse in space with a nondegenerate size-dependent coefficient. Both the break-up and the coalescence of polymers are taken into account with fragmentation and coagulation constant kernels. We demonstrate that the entropy-entropy dissipation method applies directly in this inhomogen...