Geodesic
Boundary observability inequalities for the 3D Oseen–Stokes system and applications
Rodrigues, Sérgio S.1
1 Johann Radon Institute for Computational and Applied Mathematics (RICAM), ÖAW, Altenbergerstraße 69, 4040 Linz, Austria
ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 3, pp. 723-756

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Controllability properties for the Navier–Stokes system are closely related to observability properties for the adjoint Oseen–Stokes system; boundary observability inequalities are derived, for that adjoint system, that will be appropriate to deal with suitable constrained controls, like finite-dimensional controls supported in a given subset of the boundary. As an illustration, new boundary controllability results for the Oseen–Stokes system are derived. Finally, some further plausible consequences of the derived inequalities, concerning the Navier–Stokes system, are discussed.

Reçu le :
DOI : 10.1051/cocv/2014045
Classification : 35Q35, 93B05, 93B07
Keywords: Oseen–Stokes system, boundary observability inequalities, boundary control

Rodrigues, Sérgio S. 1

1 Johann Radon Institute for Computational and Applied Mathematics (RICAM), ÖAW, Altenbergerstraße 69, 4040 Linz, Austria 
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Rodrigues, Sérgio S. Boundary observability inequalities for the 3D Oseen–Stokes system and applications. ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 3, pp. 723-756. doi: 10.1051/cocv/2014045

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