On the one-dimensional Boltzmann equation for granular flows

DOI10.1051/M2AN:2001141zbMath1044.82012OpenAlexW2132617363MaRDI QIDQ2781519

Dario Benedetto, Mario Pulvirenti

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_5_899_0

zbMATH Keywords

Boltzmann equationgranular mediainelastic collisions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Granular flows (76T25)

Related Items (12)

Mathematics of granular materials ⋮ Cooling process for inelastic Boltzmann equations for hard spheres. I: The Cauchy problem ⋮ Remarks on a class of kinetic models of granular media: asymptotics and entropy bounds ⋮ A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions ⋮ Convolution inequalities for the Boltzmann collision operator ⋮ Global solution to the inelastic Boltzmann equation with hard potentials ⋮ Elastic limit and vanishing external force for granular systems ⋮ Kinetic modelling of colonies of myxobacteria ⋮ Kinetic approach to granular matter in a medium ⋮ Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures ⋮ Mathematical tools for kinetic equations ⋮ Hydrodynamic limit of granular gases to pressureless Euler in dimension 1

Cites Work

• Unnamed Item
• Existence theorems for certain kinetic equations and large data
• One-dimensional kinetic models of granular flows
• A kinetic equation for granular media
• A one dimensional Boltzmann equation with inelastic collisions

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