Inglés

Abstract

This article is concerned with the existence and uniquenessof solutions of the Cauchy problem in the periodic setting for a regularized Benjamin-Ono type system (rBO) by using semigroup theory, Fourier analysis and Banach’s fixed point theorem. This system was recently derived by Munoz [12] as a weakly dispersive model for the propagation of small amplitude internal waves at the interface of two immiscible fluids with constant densities. We also conduct some numerical experiments to analyze the error and convergence in time and space of a fully discrete Fourierspectral scheme, for approximating the solutions of the initial value problem associated to the rBO system. Keywords: Regularized BO system, internal waves, periodic travelling wave solutions, spectral methods. To cite this article: F.A. Pipicano, J.C. Munoz Grajales, Well-posedness and computation of solutions of a regularized Benjamin-Ono system, Rev. Integr. Temas Mat. 34 (2016), No. 1, 59–80.