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2011, 2011(Special): 184-197. doi: 10.3934/proc.2011.2011.184

Existence for the linearization of a steady state fluid/nonlinear elasticity interaction

1. 

NC State University, Department of Mathematics, 3236 SAS Hall, Raleigh, NC 27695-8205, United States

2. 

CNRS-INLN, 1361 Routes des Lucioles, Sophia Antipolis, F-06560 Valbonne, France

Received  August 2010 Revised  July 2011 Published  October 2011

A linearized steady state three-dimensional fluid-structure interaction is considered and its solvability is studied. The linearization (obtained in a previous work by these authors) that we deal with has new features, including the presence of the curvature terms on the common interface. These new extra terms, coming from the geometrical aspect of the problem, are critical for a correct physical interpretation of the fluid/structure coupling. We prove that the linearization has unique solution.
Citation: Lorena Bociu, Jean-Paul Zolésio. Existence for the linearization of a steady state fluid/nonlinear elasticity interaction. Conference Publications, 2011, 2011 (Special) : 184-197. doi: 10.3934/proc.2011.2011.184
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