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Optimal Control of Magnetohydrodynamic Equations with State Constraint

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  • L. Wang

    (Chinese Academy of Sciences)

Abstract

This work is concerned with the maximum principle for optimal control problem governed by magnetohydrodynamic equations, which describe the motion of a viscous incompressible conducting fluid in a magnetic field and consist of a subtle coupling of the Navier-Stokes equation of viscous incompressible fluid flow and the Maxwell equation of electromagnetic field. An integral type state constraint is considered.

Suggested Citation

  • L. Wang, 2004. "Optimal Control of Magnetohydrodynamic Equations with State Constraint," Journal of Optimization Theory and Applications, Springer, vol. 122(3), pages 599-626, September.
    • Handle: RePEc:spr:joptap:v:122:y:2004:i:3:d:10.1023_b:jota.0000042597.43891.32
    DOI: 10.1023/B:JOTA.0000042597.43891.32
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    References listed on IDEAS

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    1. G. Wang & Y. Zhao & W. Li, 2000. "Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary," Journal of Optimization Theory and Applications, Springer, vol. 106(3), pages 627-655, September.
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