Nonlinear wave interactions for the Benjamin-Ono equation
classification
🧮 math.AP
keywords
benjamin-onoequationflowboundedconsequencecontinuousevolvingfrequency
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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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