摘要
本文从两相共存的介面变化抽象为集值映射.仿矢值映射的求导,引入了集值映射求导的概念及可导条件.接着,仿微分几何的曲线论,建立了基本公式和唯一存在定理.最后,以实例说明导数集的物理意义.
A set-valued mapping as the model is drawn from the boundary changesbetween coexistent phases.Similarly to the derivative of a vector-valuve mapping, the author has introduced the concept of its Dsrivative Set and the derivable condition.Then the basic formulae and the theorem on its unique existence have been established as doing in the curve theory in Differential Geometry. Finally, is exampled the physical sense of its Derivative Set.
出处
《上海第二工业大学学报》
1991年第2期8-15,共8页
Journal of Shanghai Polytechnic University
关键词
两相问题
数学模型
负集
代数区域
negative set, algebraic domain, kernel set,derivative set.
