Boundary observability inequalities for the 3D Oseen-Stokes system and applications
نویسندگان
چکیده
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, a new boundary controllability result for the Oseen– Stokes system is derived. Finally, we discuss some further plausible consequences of the derived inequalities, concerning the Navier–Stokes system. MSC2010: 35Q35, 93B05, 93B07
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