Formation and propagation of singularities in one-dimensional Chaplygin gas
Analysis of PDEs
2016-05-10 v1
Abstract
In this paper, we investigate the formation and propagation of singularities for the system for one-dimensional Chaplygin gas, which is described by a quasilinear hyperbolic system with linearly degenerate characteristic fields. The phenomena of concentration and the formation of ``-shock'' waves are identified and analyzed systematically for this system under suitably large initial data. In contrast to the Rankine-Hogoniot conditions for classical shock, the generalized Rankine-Hogoniot conditions for ``-shock'' waves are established. Finally, it is shown that the total mass and momentum related to the solution are independent of time.
Keywords
Cite
@article{arxiv.1311.3737,
title = {Formation and propagation of singularities in one-dimensional Chaplygin gas},
author = {De-Xing Kong and Changhua Wei},
journal= {arXiv preprint arXiv:1311.3737},
year = {2016}
}
Comments
20pages. arXiv admin note: text overlap with arXiv:1311.3474