溃变理论及其应用

Blown - up Theory and Its Applications

通过将数学模型和被它所解释的物理系统的结合,在引进溃变概念的基础上,对整体进化和溃变概念进行更进一步的深入而细致的研究。基于非线性模型分析,给出了溃变的数学物理意义和数学特征。最后,将溃变概念应用于研究现实存在的化学连锁反应之中。

In this paper, by combining mathematical models and the underlying physical systems, the concept of blown-ups introduced for the study of whole evolutions is elaborated deeply. Based on the analysis of nonlinear models, mathematical physics meanings and mathematical characters of blown-ups are provided . At the end, the concept of blown-ups is applied to the study of chemical chain reactions with existing mutual reactions between chains.