arXiv:math/0411434 Abstract

arXiv:math/0411434 [math.AP]Abstract References Reviews Resources

Nonlinear wave interactions for the Benjamin-Ono equation

Published 2004-11-19Version 1

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.

Comments: 13 pages

Categories: math.AP

Subjects: 35Q55, 37K10

Keywords: benjamin-ono equation, nonlinear wave interactions, high frequency waves evolving, flow map, consequence

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