A Non-Maxwellian Steady Distribution for One-Dimensional Granular Media |
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| Authors: | Benedetto D Caglioti E Carrillo J A Pulvirenti M |
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| Institution: | (1) Dipartimento di Matematica, Università di Roma La Sapienza, Rome, Italy;(2) Departamento de Matemática Aplicada, Universidad de Granada, Granada, Spain |
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| Abstract: | We consider a nonlinear Fokker–Planck equation for a one-dimensional granular medium. This is a kinetic approximation of a system of nearly elastic particles in a thermal bath. We prove that homogeneous solutions tend asymptotically in time toward a unique non-Maxwellian stationary distribution. |
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| Keywords: | Granular media inelastic collisions kinetic equations Fokker– Planck |
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