Sensitivity analysis for a free boundary fluid-elasticity interaction
Lorena Bociu, Jean-Paul Zolésio · Evolution equations and control theory · 2013
In this paper a total linearization is derived for the free boundary nonlinear elasticity - incompressible fluid interaction. The equations and the free boundary are linearized together and the new linearization turns out to be different from the usualcoupling of classical linear models. New extra terms are present on the common interface, some of them involving the boundary curvatures. These terms play an important rolein the final linearized system and can not be neglected.