离散的非线性爆炸方程的密度守恒解

Density-Conserving Solutions to the Discrete Nonlinear Breakage Equations

离散的非线性爆炸方程是刻划粒子增长动力学的数学模型 ,这一模型反映了一类粒子反应系统中各种粒子密度随时间变化的规律 ,它是由可数无限多个彼此相互关联的非线性常微分方程所组成的自治系统 .

The discrete nonlinear breakage equations are the mathematical model of cluster growth describing the evolution of a system of clusters undergoing binary collisions resulting either in coalescence or breakup.Each of these two events may happen with an a priori prescribed probability depending for instance on the sizes of the colliding clusters.The model consists of a countable number of non locally coupled ordinary differential equations,modeling the concentration of the various clusters.The results about density conservation have been obtained in the present paper.