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Archive for Rational Mechanics and Analysis

, Volume 211, Issue 3, pp 879–910 | Cite as

Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles

  • Xuwen Chen
  • Walter StraussEmail author
Article

Abstract

We consider a rigid body acted upon by two forces, a constant force and the collective force of interaction with a continuum of particles. We assume that some of the particles that collide with the body reflect elastically (specularly), while others reflect probabilistically with some probability distribution K. We find that the rate of approach of the body to equilibrium is O(t −3−p ) in three dimensions where p can take any value in (0, 2], depending on K.

Keywords

Convex Body Lateral Boundary Horizontal Force Lateral Boundary Condition Collision Kernel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of MathematicsBrown UniversityProvidenceUSA
  2. 2.Department of Mathematics and Lefschetz Center for Dynamical SystemsBrown UniversityProvidenceUSA

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