Optimal control in a free boundary fluid-elasticity interaction | Zendy

Daniel Toundykov | Zendy; Kristina Martin | Zendy; Lucas Castle | Zendy; Lorena Bociu | Zendy

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Optimal control in a free boundary fluid-elasticity interaction

Author(s) -

Daniel Toundykov,

Kristina Martin,

Lucas Castle,

Lorena Bociu

Publication year - 2015

Language(s) - English

Resource type - Conference proceedings

DOI - 10.3934/proc.2015.0122

Subject(s) - fluid–structure interaction , nonlinear system , fluid dynamics , elasticity (physics) , turbulence , class (philosophy) , control theory (sociology) , boundary (topology) , optimal control , flow control (data) , mathematics , flow (mathematics) , finite element method , computer science , control (management) , classical mechanics , mechanics , mathematical analysis , mathematical optimization , physics , geometry , engineering , structural engineering , artificial intelligence , thermodynamics , computer network , quantum mechanics

We establish existence of an optimal control for the problem of minimizing flow turbulence in the case of a nonlinear fluid-structure interaction model in the framework of the known local well-posedness theory. If the initial configuration is regular, in an appropriate sense, then a class of sufficiently smooth control inputs contains an element that minimizes, within the control class, the vorticity of the fluid flow around a moving and deforming elastic solid.

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