On lower bounds of the solutions of some simple reaction-diffusion equations

2003/09/11 by Malte Henkel, Henkel, Malte
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0309027

Latex2e, 9 pages

arxiv created 2003/09/11 · arxiv updated 2009/12/01

Abstract

The mean-field reaction-diffusion equations of the diffusive pair-annihilation and triplett-annihilation processes are considered. A direct lower bound on the time-dependent mean particle-density is derived. The results are applied to the mean-field theory of the diffusive pair-contact process.

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