Approximate Controllability of the Magnetohydrodynamic Equations on the Three-Dimensional Torus

Ioana Cătălina Galan ()
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Ioana Cătălina Galan: “Al.I. Cuza” University of Iaşi

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 1, No 13, 245 pages

Abstract: Abstract In this article, we prove a new global approximate controllability result concerning the magnetohydrodynamic equations of electrically conducting fluids, considered on the three-dimensional torus. In our case, the control is internally distributed, supported on an arbitrary open subset of the torus in the velocity equation and globally preserved in the magnetic field equation.

Keywords: Magnetohydrodynamic equations; Exact controllability; Approximate controllability (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0214-3

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