| 离散的非线性爆炸方程的密度守恒解 |
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| 引用本文： | 郑列. 离散的非线性爆炸方程的密度守恒解[J]. 应用数学, 2005, 18(1): 104-111 |
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| 作者姓名： | 郑列 |
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| 作者单位： | 湖北工业大学理学院,湖北,武汉,430068 |
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| 基金项目： | 中国国家留学基金管理委员会，波兰国家自然科学基金 (PolishKBNGrant 2P0 3A0 0 71 7)资助 |
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| 摘 要： | 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。本文研究了这一无限维系统的密度守恒解的存在性。
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| 关 键 词： | i-粒子 非线性爆炸 密度守恒 Banach空间 |
| 文章编号： | 1001-9847(2005)01-0104-08 |
| 修稿时间： | 2004-03-02 |
Density-Conserving Solutions to the Discrete Nonlinear Breakage Equations |
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| ZHENG Lie. Density-Conserving Solutions to the Discrete Nonlinear Breakage Equations[J]. Mathematica Applicata, 2005, 18(1): 104-111 |
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| Authors: | ZHENG Lie |
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| Abstract: | 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. |
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| Keywords: | iclusters Nonlinear breakage Density conservation Banach spaces |
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