Shock waves and compactons for fifth-order nonlinear dispersion equaitons
Analysis of PDEs
2009-02-11 v1
Abstract
Fifth-order 1D nonlinear dispersion equations are shown to admit blow-up formation of shock waves as well as rarefaction waves. The concepts of smooth deformations are applied to distinguish "entropy" shocks from smooth rarefaction waves. Single point gradient catastrophe is shown to lead to nonuniqueness after blow-up.
Keywords
Cite
@article{arxiv.0902.1632,
title = {Shock waves and compactons for fifth-order nonlinear dispersion equaitons},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0902.1632},
year = {2009}
}
Comments
38 pages, 17 figures