By David Lannes
The goal of this talk is to derive some equations describing the interaction of a floating solid structure and the surface of a perfect fluid. This is a double free boundary problem since in addition to the water waves problem (determining the free boundary of the fluid region), one has to find the evolution of the contact line between the solid and the surface of the water. The so-called floating body problem has been studied so far as a three-dimensional problem. Our first goal is to reduce it to a two-dimensional problem that takes the form of a coupled compressible-incompressible system. We will also show that the hydrodynamic forces acting on the solid can be partly put under the form of an added mass -inertia matrix, which turns out to be affected by the dispersive terms of the equations.
By Patrick Gerard
By Hatem Zaag
By Thomas Kappeler
By Michal Kowalczyk
By Cécile Huneau
By Mihalis Dafermos
By Andrea Nahmod
By Benjamin Schlein
By Chris Sogge
By Alexandru Ionescu
By Vlad Vicol
By Thomas Alazard
By Robert Jerrard
By Camillo de Lellis
By Changliang Wang
By Xianzhe Dai
By Claudio Dappiaggi
