On the Stability of Self-Propelled Bodies with Respect to their Shape Motion

Matthieu Bonnivard (1)

1 EDP - Equations aux Dérivées Partielles

This paper studies the stability of the trajectories of self-propelled bodies immersed in a fluid at low Reynolds number, with respect to their dynamic shape deformation. We consider both adherence and perfect slip boundary conditions on the moving body. Using shape derivative arguments in association with recent higher order regularity results for the Bogovskii operator, we bring the shape stability question to a finite dimension dynamical system analysis.

Domaines: Equations aux dérivées partielles [math.AP]

Matthieu Bonnivard. On the Stability of Self-Propelled Bodies with Respect to their Shape Motion. 2011. ⟨hal-00565408⟩