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In this paper, we consider one-dimensional compressible Navier–Stokes equations linearized around a constant steady state ( Q 0 , V 0 ), Q 0 > 0, V 0 > 0 with periodic boundary condition. We explore the controllability of this linearized system using a control only for the velocity equation. We establish that the linearized system with periodic boundary conditions is null controllable when time is large enough, for regular initial data by a localized interior control. Finally, we show that this system is boundary null controllable, when time is large enough, for slightly less regular initial data compared to interior controllability case.
Journal of Evolution Equations – Springer Journals
Published: Jun 1, 2015
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