Weakly nonlinear analysis of two dimensional sheared granular flow
Soft Condensed Matter
2011-09-20 v2
Abstract
Weakly nonlinear analysis of a two dimensional sheared granular flow is carried out under the Lees-Edwards boundary condition. We derive the time dependent Ginzburg-Landau (TDGL) equation of a disturbance amplitude starting from a set of granular hydrodynamic equations and discuss the bifurcation of the steady amplitude in the hydrodynamic limit.
Cite
@article{arxiv.1103.1936,
title = {Weakly nonlinear analysis of two dimensional sheared granular flow},
author = {Kuniyasu Saitoh and Hisao Hayakawa},
journal= {arXiv preprint arXiv:1103.1936},
year = {2011}
}
Comments
24 pages, 6 figures. Section 3, 4 and 5 are changed. Figures 2-6 are updated