On blow-up shock waves for a nonlinear PDE associated with Euler equations
Analysis of PDEs
2009-02-12 v1
Abstract
A second-order PDE is derived from Euler's equaitons under certain assumptions. It is shown that this PDE admits shock and rarefaction waves, and that a single point gradient blow-up admits a unique similarity extension after blow-up that settles uniqueness/entropy issues for such equations.
Cite
@article{arxiv.0902.1840,
title = {On blow-up shock waves for a nonlinear PDE associated with Euler equations},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0902.1840},
year = {2009}
}
Comments
16 pages, 8 figures