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In this work we study one problem of mathematical interest for theirapplications in several topics in Applied Science. We study simultaneouscontrollability of a pair of systems which model the evolution of sound in acompressible ow considered as a transmission problem. We show the well posed ofthe problem. Furthermore provided appropriate conditions in the geometry of thedomain are valid and suitable assumptions on the fluid, is possible to conducethe pair of systems to the equilibrium in a simultaneous way using only onecontrol.

Simultaneous controllability of wave sound propagations