WIAS Preprint No. 20, (1992)

Free energy estimates and asymptotic behaviour of reaction-diffusion processes.



Authors

  • Gröger, Konrad

2010 Mathematics Subject Classification

  • 35K57 35K55 35K45

Keywords

  • Reaction-diffusion systems, asymptotic behaviour, Lyapunov function

DOI

10.20347/WIAS.PREPRINT.20

Abstract

We prove a class of inequalities closely related to Poincaré's Inequality. Roughly speaking, these inequalites state for many reaction-diffusion systems the free energy can be estimated by the corresponding dissipation rate. This allows to describe the asymptotic behaviour of such reaction-diffusion systems without using global uniform bounds for the concentrations.

Download Documents