On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
Exactly Solvable and Integrable Systems
2010-02-18 v1 Pattern Formation and Solitons
Abstract
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion 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.
Cite
@article{arxiv.1002.3178,
title = {On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data},
author = {Peter D. Miller and Zhengjie Xu},
journal= {arXiv preprint arXiv:1002.3178},
year = {2010}
}
Comments
54 pages, 11 figures