29 citations · 68 across the 14 of their papers we have counts for
3 papers · 1 filter
Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid
Alexandre Munnier, Karim Ramdani
We study a two dimensional collision problem for a rigid solid immersed in a cavity filled with a perfect fluid. We are led to investigate the asymptotic behavior of the Dirichlet…
Optimal Strokes for Driftless Swimmers: A General Geometric Approach
Thomas Chambrion, Laetitia Giraldi, Alexandre Munnier
Swimming consists by definition in propelling through a fluid by means of bodily movements. Thus, from a mathematical point of view, swimming turns into a control problem for which…
Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
Olivier Glass, Alexandre Munnier, Franck Sueur
The point vortex system is usually considered as an idealized model where the vorticity of an ideal incompressible two-dimensional fluid is concentrated in a finite number of movin…