Boundary observability inequalities for the 3D Oseen–Stokes system and applications
Johann Radon Institute for Computational and Applied Mathematics
(RICAM), ÖAW, Altenbergerstraße
Revised: 11 July 2014
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.
Mathematics Subject Classification: 35Q35 / 93B05 / 93B07
Key words: Oseen–Stokes system / boundary observability inequalities / boundary control
© EDP Sciences, SMAI, 2015