On exact controllability for the Navier-Stokes equations

O. Yu. Imanuvilov

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Displaying similar documents to “On exact controllability for the Navier-Stokes equations”

Controllability of three-dimensional Navier–Stokes equations and applications

Armen Shirikyan (2005-2006)

Séminaire Équations aux dérivées partielles

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We formulate two results on controllability properties of the 3D Navier–Stokes (NS) system. They concern the approximate controllability and exact controllability in finite-dimensional projections of the problem in question. As a consequence, we obtain the existence of a strong solution of the Cauchy problem for the 3D NS system with an arbitrary initial function and a large class of right-hand sides. We also discuss some qualitative properties of admissible weak solutions for randomly...