학술논문

APPROXIMATE CONTROLLABILITY OF LINEARIZED SHAPE-DEPENDENT OPERATORS FOR FLOW PROBLEMS.
Document Type
Article
Source
ESAIM: Control, Optimisation & Calculus of Variations. Jul2017, Vol. 23 Issue 3, p751-771. 21p.
Subject
*COMPUTATIONAL complexity
*STOKES equations
*CONTROLLABILITY in systems engineering
*CALCULUS
*INFINITESIMAL transformations
Language
ISSN
1292-8119
Abstract
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. [ABSTRACT FROM AUTHOR]