Boundary optimal control of MHD flows |
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| Authors: | L S Hou A J Meir |
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| Institution: | (1) Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6 Burnaby, British Columbia, Canada;(2) Department of Foundations, Analysis and Topology, Auburn University, 36849 Auburn, AL, USA;(3) Present address: Department of Mathematics and Statistics, York University, M3J 1P3 North York, Ontario, Canada |
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| Abstract: | This paper deals with some optimal control problems associated with the equations of steady-state, incompressible magnetohydrodynamics. These problems have direct applications to nuclear reactor technology, magnetic propulsion devices, and design of electromagnetic pumps. These problems are first put into an appropriate mathematical formulation. Then the existence of optimal solutions is proved. The use of Lagrange multiplier techniques is justified and an optimality system of equations is derived. The theory is applied to an example.The work of L. S. Hou was supported in part by the Natural Science and Engineering Research Council of Canada under Grant Number OGP-0137436 and by a Simon Fraser University President's Research grant. |
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| Keywords: | Optimal control Magnetohydrodynamics Electrically conducting fluid |
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