未找到相关数据
On an adjoint initial-boundary value problem
被引：0
作者：
V. K. Andreev
机构：
[1] Russian Academy of Sciences,Institute for Computer Modeling, Siberian Branch
[2] Siberian Federal University,undefined
来源：
Differential Equations
|
2008年
/
44卷
关键词：
Pressure Gradient;
Schwarz Inequality;
Common Interface;
Linear Parabolic Equation;
Plane Discontinuity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study an adjoint initial-boundary value problem for linear parabolic equations; which arises when modeling the unidirectional motion of two viscous fluids with a common interface under the action of a pressure gradient. Under some conditions on the pressure gradient, we obtain a priori estimates and show that the solution enters a stationary mode. For semibounded layers, we find the solution in closed form and indicate the case of a self-similar solution. We determine the volume flow rates in the layers.
引用
收藏
页码：1730 / 1736
页数：6
相关论文
未找到相关数据