Boundary observability inequalities for the 3D Oseen–Stokes system and applications
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-dime...
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| Veröffentlicht in: | ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2015-07, Vol.21 (3), p.723-756 |
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| container_title | ESAIM. Control, optimisation and calculus of variations |
| container_volume | 21 |
| creator | Rodrigues, Sérgio S. |
| description | 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. |
| doi_str_mv | 10.1051/cocv/2014045 |
| format | Article |
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| ispartof | ESAIM. Control, optimisation and calculus of variations, 2015-07, Vol.21 (3), p.723-756 |
| issn | 1292-8119 1262-3377 |
| language | eng |
| recordid | cdi_proquest_journals_2199314535 |
| source | EZB-FREE-00999 freely available EZB journals; NUMDAM |
| subjects | 35Q35 93B05 93B07 boundary control boundary observability inequalities Controllability Fluid dynamics Fluid flow Inequalities Navier-Stokes equations Observability (systems) Oseen–Stokes system Stability |
| title | Boundary observability inequalities for the 3D Oseen–Stokes system and applications |
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