Control of magnetohydrodynamic flow in the formation of a magnetic field with a prescribed configuration

被引：0
|
作者：
A. Yu. Chebotarev
机构：
[1] Russian Academy of Sciences,Institute of Applied Mathematics, Far East Division
来源：
Computational Mathematics and Mathematical Physics | 2009年 / 49卷
关键词：
magnetohydrodynamic equations; optimal control; variational inequalities; controllability problems;
D O I：
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中图分类号：
学科分类号：
摘要：
Control problems for the viscous incompressible magnetohydrodynamic equations are considered. The goal is to produce a magnetic field with a prescribed structure at a given time by applying electromotive forces so as to minimize Joule heating or the work done on the conduction currents. Based on estimates obtained for the solution of a subdifferential Cauchy problem for the Navier-Stokes-type equations, the possibility of producing the required magnetic field is proved and the solvability conditions for the control problems are found.
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页码：1913 / 1920
页数：7
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