Formation and evolution of density singularities in hydrodynamics of inelastic gases

Itzhak Fouxon*, Baruch Meerson, Michael Assaf, Eli Livne

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We use hydrodynamics to investigate clustering in a gas of inelastically colliding spheres. The hydrodynamic equations exhibit a finite-time density blowup, where the gas pressure remains finite. The density blowup signals the formation of close-packed clusters. The blowup dynamics is universal and describable by exact analytic solutions continuable beyond the blowup time. These solutions show that dilute hydrodynamic equations yield a powerful effective description of a granular gas flow with close-packed clusters, described as finite-mass pointlike singularities of the density. This description is similar in spirit to the description of shocks in ordinary ideal gas dynamics.

Original languageAmerican English
Article number050301
JournalPhysical Review E
Volume75
Issue number5
DOIs
StatePublished - 3 May 2007

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