Instabilities in Granular Flow
软凝聚态物质
2007-05-23 v1
摘要
We consider the stability of a system of equations which are a singular perturbation of the incompressible rigid-plastic flow equations used to model granular flow. A linear stability analysis shows that solutions of these equations are unstable, in general, and that these instabilities may lead to ill-posedness. However, the analysis suggests that these equations are more regular, in a certain sense, than the unperturbed incompressible rigid-plastic flow equations. Numerical solutions are presented which illustrate the growth of instabilities and the development of shear-bands in the flows.
引用
@article{arxiv.cond-mat/0007236,
title = {Instabilities in Granular Flow},
author = {Shaun Hendy},
journal= {arXiv preprint arXiv:cond-mat/0007236},
year = {2007}
}
备注
21 pages, 7 figues