Nonlinear wave interactions for the Benjamin-Ono equation
Analysis of PDEs
2007-05-23 v1
Abstract
We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-Ono equation can not be uniformly continuous on bounded sets of H^s(R) for s>0.
Cite
@article{arxiv.math/0411434,
title = {Nonlinear wave interactions for the Benjamin-Ono equation},
author = {Herbert Koch and Nikolay Tzvetkov},
journal= {arXiv preprint arXiv:math/0411434},
year = {2007}
}
Comments
13 pages