Operator splitting for the Benjamin-Ono equation
Analysis of PDEs
2016-04-27 v2
Abstract
In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.
Keywords
Cite
@article{arxiv.1311.1766,
title = {Operator splitting for the Benjamin-Ono equation},
author = {R. Dutta and H. Holden and U. Koley and N. H. Risebro},
journal= {arXiv preprint arXiv:1311.1766},
year = {2016}
}
Comments
18 Pages