Small-time global exact controllability of the Navier–Stokes equation with Navier slip-with-friction boundary conditions

In this work, we investigate the small-time global exact controllability of the Navier–Stokes equation, both towards the null equilibrium state and towards weak trajectories.We consider a viscous incompressible fluid evolving within a smooth bounded domain, either in 2D or in 3D. The controls are on...

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Veröffentlicht in:	Journal of the European Mathematical Society : JEMS 2020-01, Vol.22 (5), p.1625-1673
Hauptverfasser:	Coron, Jean-Michel, Marbach, Frédéric, Sueur, Franck
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs control Mathematics Optimization and Control Systems theory
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