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

Mathematical Physics 2007-05-23 v1 Statistical Mechanics High Energy Physics - Theory Analysis of PDEs math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0309027,
  title  = {On lower bounds of the solutions of some simple reaction-diffusion equations},
  author = {Malte Henkel},
  journal= {arXiv preprint arXiv:math-ph/0309027},
  year   = {2007}
}

Comments

Latex2e, 9 pages