Parabolic-elliptic free boundary problems with time-dependent obstacles
Parabolic-elliptic free boundary problems with time-dependent obstacles
复制标题
具有随时间变化的障碍物的抛物线-椭圆自由边界问题
DOI：
10.1007/bf03167902
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
I. Pawlow
中科院分区：
文献类型：
--
作者：
N. Kenmochi;I. Pawlow
本文考虑了具有时变障碍物和变边界条件的抛物-椭圆问题。障碍物要么集中在一个给定的时间依赖部分的边界的几何域或在一个规定的时间依赖子域。在Hilbert空间中，将这类问题归结为一个Cauchy问题.建立了存在性和唯一性结果，特别适用于多孔介质中的流动模型和具有运动控制作用的电解加工过程。
In the paper, parabolic-elliptic problems with time-dependent obstacles and variable boundary conditions are considered. The obstacles are either concentrated at a given time-dependent part of the boundary of a geometric domain or within a prescribed time-dependent subdomain. The problems are fourmulated as a Cauchy problem in Hilbert space. Existence and uniqueness results are established, in particular refering to some models of flows in porous media and electrochemical machining processes with moving control actions.