Lyapunov Functionals for the Enskog Equation

2006/08/02 by Zhenglu Jiang, Jiang, Zhenglu
Mathematics · Physics and Astronomy · #35Q75 #76P05 #82-02 #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #msc:35Q75 #msc:76P05 #msc:82-02 #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.math-ph/0608007

13 pages

arxiv created 2006/08/27 · arxiv updated 2009/12/01

Abstract

Two Lyapunov functionals are presented for the Enskog equation. One is to describe interactions between particles with various velocities and another is to measure the L¹ distance between two classical solutions. The former yields the time-asymptotic convergence of global classical solutions to the collision free motion while the latter is applied into the verification of the L¹ stability of global classical solutions.

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