On the Zero-Dispersion Limit of the Benjamin-Ono Cauchy Problem for Positive Initial Data
نویسندگان
چکیده
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-dispersion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate analogue of the method invented by Lax and Levermore to analyze the corresponding limit for the Korteweg–de Vries equation. © 2010 Wiley Periodicals, Inc.
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