Sensitivity analysis for a free boundary fluid-elasticity interaction

DOI10.3934/eect.2013.2.55zbMath1259.93040OpenAlexW2329632295WikidataQ57427919 ScholiaQ57427919MaRDI QIDQ1941488

Lorena Bociu, Jean-Paul Zolésio

Publication date: 13 March 2013

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2013.2.55

zbMATH Keywords

Navier-Stokes equationslinearizationnonlinear elasticitycoupled systemfree boundaryshape derivative

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear systems in control theory (93C10) Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Linearizations (93B18) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35)

Related Items (8)

Linearized hydro-elasticity: a numerical study ⋮ Minimizing drag in a moving boundary fluid-elasticity interaction ⋮ On a Model of an Elastic Body Fully Immersed in a Viscous Incompressible Fluid with Small Data ⋮ Global well-posedness and exponential decay for a fluid-structure model with small data ⋮ Small data global existence for a fluid-structure model ⋮ Boundary control of small solutions to fluid-structure interactions arising in coupling of elasticity with Navier-Stokes equation under mixed boundary conditions ⋮ Well-Posedness Analysis for a Linearization of a Fluid-Elasticity Interaction ⋮ Optimal control in a free boundary fluid-elasticity interaction

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