Formation of singularities in solutions to ideal hydrodynamics of freely cooling inelastic gases
نویسندگان
چکیده
منابع مشابه
Hydrodynamic singularities and clustering in a freely cooling inelastic gas.
We employ hydrodynamic equations to follow the clustering instability of a freely cooling dilute gas of inelastically colliding spheres into a well-developed nonlinear regime. We simplify the problem by dealing with a one-dimensional coarse-grained flow. We observe that at a late stage of the instability the shear stress becomes negligibly small, and the gas flows solely by inertia. As a result...
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We study dynamics of freely cooling granular gases in two dimensions using large-scale molecular dynamics simulations. We find that for dilute systems the typical kinetic energy decays algebraically with time, E(t) approximately t(-1), and velocity statistics are characterized by a universal Gaussian distribution in the long time limit. We show that in the late clustering regime particles move ...
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Abstract The Cauchy problem for the three-dimensional Euler–Boltzmann equations of a polytropic, ideal and isentropic fluid in radiation hydrodynamics is considered. The formation of singularities in smooth solutions is studied. It is proved that some C1 solutions, regardless of the size of the initial disturbance, will develop singularities in a finite time provided that the initial disturbanc...
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15 صفحه اولLong-time tails in freely cooling granular gases.
The long-time behavior of the current autocorrelation functions for the velocity, the shear stress, and the heat flux is investigated in freely cooling granular gases. It is found that the correlation functions for the velocity and the shear stress have the long-time tails obeying tau(-d/2), while the correlation function for heat flux decays as tau(-(d+2)/2) exp(-zeta*tau) with the dimensionle...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2012
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/25/6/1547