English

On the Benjamin-Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions

Analysis of PDEs 2021-03-18 v1

Abstract

In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not CC^\infty-smooth.

Keywords

Cite

@article{arxiv.2103.09291,
  title  = {On the Benjamin-Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions},
  author = {Patrick Gérard and Thomas Kappeler and Petar Topalov},
  journal= {arXiv preprint arXiv:2103.09291},
  year   = {2021}
}