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- W4294564327 abstract "A numerical bifurcation analysis is carried out to understand the role of gravity on the shear-band formation in rapid granular Couette flow. At {it low} shear rates, there is a unique solution with a {it plug} near the bottom wall and a {it shear-layer} near the top-wall; this solution mirrors typical shearbanding-type profiles in earth-bound shear-cell experiments. Interestingly, a {it stable} plug near the top-wall is also a solution of these equations at {it high} shear rates; there is a multitude of other plugged states, with the plugs being located in an ordered fashion within the Couette gap. The origin of such shearbanding solutions is tied to the spontaneous symmetry-breaking {it shearbanding} instabilities of the gravity-free uniform shear flow, leading to both subcritical and supercritical pitchfork bifurcations. In the language of singularity theory, we have established that this bifurcation problem admits {it universal unfolding} of pitchfork bifurcations." @default.
- W4294564327 created "2022-09-04" @default.
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- W4294564327 date "2004-11-23" @default.
- W4294564327 modified "2023-09-26" @default.
- W4294564327 title "Universal Unfolding of Pitchfork Bifurcations and Shear-Band Formation in Rapid Granular Couette Flow" @default.
- W4294564327 doi "https://doi.org/10.48550/arxiv.cond-mat/0411572" @default.
- W4294564327 hasPublicationYear "2004" @default.
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