Nonlinear wave interactions for the Benjamin-Ono equation

Details Nonlinear wave interactions for the Benjamin-Ono equation Nonlinear wave interactions for the Benjamin-Ono equation

2004-11-19

arxiv.org/abs/math/0411434v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

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.

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