摘要
证明了一种带有温度边界条件的Stefan问题解的存在唯一性.首先利用Green恒等式将问题转化为等价的积分方程组,由压缩映照原理得到了问题的局部解.再利用延拓方法得到了整体解.
Existence and uniqueness of global solutions for a one-phase Stefan problem are proved in this paper. The author firstly translates the Stefan problem into an equivalent system of integral equations with the help of Green Identity and has the existence and uniqueness of local solutions to the integral equations by contraction mapping theorem, then applies the continuation method to get the existence and uniqueness of global solutions.
出处
《中央民族大学学报（自然科学版）》
2012年第2期36-40,共5页
Journal of Minzu University of China(Natural Sciences Edition)
基金
山东省教育厅资助项目(No.2011GG049)
菏泽学院科研项目(No.XYJJKJ-3)
关键词
STEFAN问题
存在唯一性
压缩映照原理
整体解
Stefan problem
existence and uniqueness
contraction mapping theorem
global solution
