, Volume 159, Issue 1, pp 231-245

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.

Communicated by Viorel Barbu.