Convergence of the regularized short pulse equation to the short pulse one
Analysis of PDEs
2014-03-25 v1
Abstract
We consider the regularized short-pulse equation, which contains nonlinear dis- persive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the short-pulse one. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the Lp setting.
Keywords
Cite
@article{arxiv.1403.5674,
title = {Convergence of the regularized short pulse equation to the short pulse one},
author = {Giuseppe Maria Coclite and Lorenzo di Ruvo},
journal= {arXiv preprint arXiv:1403.5674},
year = {2014}
}