Optimal control in a free boundary fluid-elasticity interaction

Lorena Bociu; Lucas  Castle; Kristina  Martin; Daniel Toundykov

doi:10.3934/proc.2015.0122

Article Contents

2015, Volume 2015: 122-131. Doi: 10.3934/proc.2015.0122 open access

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Optimal control in a free boundary fluid-elasticity interaction

1.
Department of Mathematics, NC State University, Raleigh, NC 27695
2.
Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8501
3.
Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588

Received: September 2014

Revised: January 2015

Published: October 2015

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Abstract

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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Mathematics Subject Classification: Primary: 49J20, 74F10; Secondary: 74B20, 76D05, 35R37.

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