Optimal control in a free boundary fluid-elasticity interaction

DOI10.3934/proc.2015.0122zbMath1334.49008OpenAlexW2332366759MaRDI QIDQ260727

Daniel Toundykov, Lorena Bociu, Lucas Castle, Kristina Martin

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0122

zbMATH Keywords

optimal controlNavier-Stokes equationsnonlinear elasticitymoving boundaryfluid-structure

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20) Moving boundary problems for PDEs (35R37)

Related Items (5)

Boundary stabilization of an elastic body surrounding a viscous incompressible fluid ⋮ Hyperbolic equations with mixed boundary conditions: shape differentiability analysis ⋮ Minimizing drag in a moving boundary fluid-elasticity interaction ⋮ Differentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier-Stokes equations with mixed-boundary conditions in a channel ⋮ Some geometric inverse problems for the Lamé system with applications in elastography

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