Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 34 No. 1 (2016): Revista Integración
Research and Innovation Articles

Well-posedness and computation of solutions of a regularized Benjamin-Ono system

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  • Felipe Alexander Pipicano,
  • Juan Carlos Muñoz Grajales
Felipe Alexander Pipicano
Universidad del Valle
Juan Carlos Muñoz Grajales
Universidad del Valle
DOI: https://doi.org/10.18273/revint.v34n1-2016004

Published 2016-05-06

Keywords

  • Regularized BO system,
  • internal waves,
  • periodic travelling wave solutions,
  • spectral methods

How to Cite

Pipicano, F. A., & Muñoz Grajales, J. C. (2016). Well-posedness and computation of solutions of a regularized Benjamin-Ono system. Revista Integración, Temas De matemáticas, 34(1), 59–80. https://doi.org/10.18273/revint.v34n1-2016004

Copyright (c) 2016 Felipe Alexander Pipicano, Juan Carlos Muñoz Grajales

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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 Muñoz [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.

To cite this article: F.A. Pipicano, J.C. Muñoz Grajales, Well-posedness and computation of solutions of a regularized Benjamin-Ono system, Rev. Integr. Temas Mat. 34 (2016), No. 1, 59–80.

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