Weakly nonlinear analysis of two dimensional sheared granular flow
Kuniyasu Saitoh, Hisao Hayakawa
TL;DR
This paper develops a weakly nonlinear analysis of two-dimensional sheared granular flow, deriving a time-dependent Ginzburg-Landau equation to understand bifurcations in steady flow patterns.
Contribution
It introduces a novel weakly nonlinear framework for analyzing granular flows under shear, deriving a TDGL equation from hydrodynamic equations.
Findings
Derivation of a TDGL equation for granular flow disturbances
Identification of bifurcation behavior in steady flow amplitude
Insights into flow stability and pattern formation
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.