Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
复制标题
变分不等式在赫勒肖流动边界问题中的应用
DOI：
--
复制
发表时间：
1985
期刊：
影响因子：
--
通讯作者：
Björn Gustafsson
中科院分区：
文献类型：
--
作者：
Björn Gustafsson
考虑一类由Hele - Shaw流问题引起的二维运动边界问题。介绍了经典解和弱解的概念。我们证明了经典解也是弱解，并利用变分不等式证明了给定任意初始$(t = 0)$数据，存在一个唯一的弱解，该弱解定义在时间区间$0上，且倾斜于$0 $。
We consider a class of two-dimensional moving boundary problems originating from a Hele Shaw flow problem. Concepts of classical and weak solutions are introduced. We show that a classical solution also is a weak solution and, by using variational inequalities, that given arbitrary initial $(t = 0)$ data there exists a unique weak solution defined on the time interval $0 leqslant t 0$.