Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations
Analysis of PDEs
2011-05-03 v1
Abstract
We define compressive and rarefactive waves and give the differential equations describing smooth wave steepening for the compressible Euler equations with a varying entropy profile and general pressure laws. Using these differential equations, we directly generalize P. Lax's singularity (shock) formation results for hyperbolic systems with two variables to the compressible Euler equations for a polytropic ideal gas. Our results are valid globally without restriction on the size of the variation of initial data.
Keywords
Cite
@article{arxiv.1105.0231,
title = {Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations},
author = {Geng Chen},
journal= {arXiv preprint arXiv:1105.0231},
year = {2011}
}
Comments
to appear in J. Hyperbolic Diff. Eqs