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

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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.

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Authors and Affiliations

  1. Department of Mathematics, “Al.I. Cuza” University of Iaşi, Iaşi, Romania

    Ioana Cătălina Galan

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  1. Ioana Cătălina Galan
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Correspondence to Ioana Cătălina Galan.

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Communicated by Viorel Barbu.

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Galan, I.C. Approximate Controllability of the Magnetohydrodynamic Equations on the Three-Dimensional Torus. J Optim Theory Appl 159, 231–245 (2013). https://doi.org/10.1007/s10957-012-0214-3

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  • DOI: https://doi.org/10.1007/s10957-012-0214-3

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