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Exact controllability for the magnetohydrodynamic equations

✍ Scribed by Viorel Barbu; Teodor Havârneanu; Cătălin Popa; S. S. Sritharan

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
390 KB
Volume
56
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

We study the local exact controllability of the steady state solutions of the magnetohydrodynamic equations. The main result of the paper asserts that the steady state solutions of these equations are locally controllable if they are smooth enough. We reduce the local exact controllability of the steady state solutions of the magnetohydrodynamic equations to the global exact controllability of the null solution of the linearized magnetohydrodynamic system via a fixed‐point argument. The treatment of the reduced problem relies on two Carleman‐type inequalities for the backward adjoint system. © 2003 Wiley Periodicals, Inc.

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