Approximate controllability of linearized shape-dependent operators for flow problems
We study the controllability of linearized shape-dependent operators for flow problems. The first operator is a mapping from the shape of the computational domain to the tangential wall velocity of the potential flow problem and the second operator maps to the wall shear stress of the Stokes problem...
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| Veröffentlicht in: | ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2017-07, Vol.23 (3), p.751-771 |
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| container_end_page | 771 |
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| container_title | ESAIM. Control, optimisation and calculus of variations |
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| creator | Leithäuser, C. Pinnau, R. Feßler, R. |
| description | We study the controllability of linearized shape-dependent operators for flow problems. The first operator is a mapping from the shape of the computational domain to the tangential wall velocity of the potential flow problem and the second operator maps to the wall shear stress of the Stokes problem. We derive linearizations of these operators, provide their well-posedness and finally show approximate controllability. The controllability of the linearization shows in what directions the observable can be changed by applying infinitesimal shape deformations. |
| doi_str_mv | 10.1051/cocv/2016012 |
| format | Article |
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| ispartof | ESAIM. Control, optimisation and calculus of variations, 2017-07, Vol.23 (3), p.751-771 |
| issn | 1292-8119 1262-3377 |
| language | eng |
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| source | EZB Electronic Journals Library |
| subjects | 35Q35 35R30 49Q10 76B75 93B05 Computational fluid dynamics Controllability Controllablility Deformation inverse problem Linearization Mapping Operators (mathematics) partial differential equation Potential flow shape derivative shape optimization shape-dependent operator Wall shear stresses Well posed problems |
| title | Approximate controllability of linearized shape-dependent operators for flow problems |
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