Orateur
Thierry Laurens
(University of Wisconsin–Madison)
Description
The intermediate nonlinear Schrödinger equation was first introduced as a defocusing model to describe the modulation of internal waves in a stratified fluid. However, with either a focusing or defocusing nonlinearity the resulting system is completely integrable. For both models, the shallow-depth limit leads to the cubic NLS equations, while the infinite-depth limit yields the continuum Calogero–Moser equations. In this talk, we will discuss some recent well-posedness results for the intermediate nonlinear Schrödinger equations on both the line and the circle. This is based on joint works with Andreia Chapouto and Justin Forlano.