Weakly nonlinear analysis of two dimensional sheared granular flow
  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. 
Kuniyasu Saitoh and Hisao Hayakawa
cond-mat.soft