3 papers
math.AP2025
The F. John model and Cummins' equations for freely floating objects
David Lannes, Martin Oen Paulsen
In this paper, we address the well-posedness theory of F. John's problem for freely floating objects in a two-dimensional framework. This problem is a linear description of the int…
math.AP2025
The moving contact line problem for the nonlinear shallow water equations
Tatsuo Iguchi, David Lannes
We consider the initial value problem for a nonlinear shallow water model in horizontal dimension d = 2 and in the presence of a fixed partially immersed solid body on the water su…
math.AP2024
Well posedness of F. John's floating body problem for a fixed object
David Lannes, Mei Ming
The goal of this paper is to prove the well-posedness of F. John's floating body problem in the case of a fixed object and for unsteady waves, in horizontal dimension and wit…