Formation and evolution of density singularities in hydrodynamics of inelastic gases
arXiv:cond-mat/0610603 · doi:10.1103/PhysRevE.75.050301
Abstract
We use ideal hydrodynamics to investigate clustering in a gas of inelastically colliding spheres. The hydrodynamic equations exhibit a new type of finite-time density blowup, where the gas pressure remains finite. The density blowups signal formation of close-packed clusters. The blowup dynamics are 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 point-like singularities of the density. This description is similar in spirit to the description of shocks in ordinary ideal gas dynamics.
arXiv comment4 pages, 3 figures, final version
References in corpus (6)
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Cited by in corpus (9)
- Formation of density singularities in ideal hydrodynamics of freely cooling inelastic gases: a family of exact solutions
- Navier-Stokes hydrodynamics of thermal collapse in a freely cooling granular gas
- A nonlinear theory of non-stationary low Mach number channel flows of freely cooling nearly elastic granular gases
- Attempted density blowup in a freely cooling dilute granular gas: hydrodynamics versus molecular dynamics
- The Knudsen temperature jump and the Navier-Stokes hydrodynamics of granular gases driven by thermal walls
- Hydrodynamics of granular particles on a line
- Lyapunov exponents and Lagrangian chaos suppression in compressible homogeneous isotropic turbulence
- Self-similar solutions for the dynamical condensation of a radiative gas layer
- Formation of singularities in solutions to ideal hydrodynamics of freely cooling inelastic gases