Weakly nonlinear analysis of two dimensional sheared granular flow

Details Weakly nonlinear analysis of two dimensional sheared granular flow Weakly nonlinear analysis of two dimensional sheared granular flow

2011-03-10

arxiv.org/abs/1103.1936v2

Granular Matter 13(5), 697-711, 2011

Physics

Condensed Matter

Soft Condensed Matter

24 pages, 6 figures. Section 3, 4 and 5 are changed. Figures 2-6 are updated

Scientific paper

10.1007/s10035-011-0283-2

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.

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