作 者: ;
机构地区: 华南师范大学南海校区学院数学系
出 处: 《广东技术师范学院学报》 2004年第4期14-18,共5页
摘 要: 本文研究了在一维有限区域上物体的凝固问题 .在这个问题中 ,我们需要确定固体的温度和它的两条自由边界的位置 .本文的结果包括两部分 :(1)证明了当边界固定时解的存在性 ;(2 ) In this paper we consider an one-dimensional solidification problem of a finite domain. The problem involves in seeking the solid temperature and the two free boundary. The result consists of two parts: the first part is for the fixed boundaries problem which has a unique solution; the second part is for the free boundary problem, a global classical solution is established by the fixed point theorem.