Stability of critical shapes for the drag minimization problem in Stokes flow

We study the stability of some critical (or equilibrium) shapes in the minimization problem of the energy dissipated by a fluid (i.e. the drag minimization problem) governed by the Stokes equations. We first compute the shape derivative up to the second order, then provide a sufficient condition for...

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Veröffentlicht in:	Journal de mathématiques pures et appliquées 2013-09, Vol.100 (3), p.327-346
Hauptverfasser:	Caubet, Fabien, Dambrine, Marc
Format:	Artikel
Sprache:	eng
Schlagworte:	Drag minimization Mathematics Optimal profiles Optimization and Control Shape calculus Shape Hessian Stability of critical shape Stokes equations
Online-Zugang:	Volltext
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