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
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…
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…