A singular limit problem for the Ibragimov-Shabat equation
Analysis of PDEs
2014-11-20 v1
Abstract
We consider the Ibragimov-Shabat equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of a scalar conservation law. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L^p setting
Keywords
Cite
@article{arxiv.1411.5167,
title = {A singular limit problem for the Ibragimov-Shabat equation},
author = {G. M. Coclite and L. di Ruvo},
journal= {arXiv preprint arXiv:1411.5167},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1403.5674, arXiv:1411.0989, arXiv:1411.0616, arXiv:1411.5033