Stability estimates for the solutions of control problems for the stationary magnetohydrodynamic equations

被引：0
|
作者：
G. V. Alekseev
R. V. Brizitskii
机构：
[1] Far-Eastern Federal University,Institute for Applied Mathematics
[2] Far-Eastern Branch of the Russian Academy of Sciences,undefined
来源：
Differential Equations | 2012年 / 48卷
关键词：
Control Problem; Optimal Control Problem; Extremal Problem; Stability Estimate; Stokes System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study control problems for the stationary magnetohydrodynamic equations. In these problems, one has to find an unknown vector function occurring in the boundary condition for the magnetic field and the solution of the boundary value problem in question by minimizing a performance functional depending on the velocity and pressure. We derive new a priori estimates for the solutions of the original boundary value problem and the extremal problem and prove theorems on the local uniqueness and stability of solutions for specific performance functionals.
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页码：397 / 409
页数：12
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