On lower bounds of the solutions of some simple reaction-diffusion equations
classification
🧮 math-ph
cond-mat.stat-mechhep-thmath.APmath.MP
keywords
diffusiveequationslowermean-fieldreaction-diffusionappliedboundbounds
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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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