Abstract
We investigate the long-time behavior of a system of viscoelastic particles modeled with the homogeneous Boltzmann equation. We prove the existence of a universal Maxwellian intermediate asymptotic state with explicit rate of convergence towards it. Exponential lower pointwise bounds and propagation of regularity are also studied. These results can be seen as a generalization of several classical results holding for the pseudo-Maxwellian and constant normal restitution models.
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Alonso, R., Lods, B. Boltzmann Model for Viscoelastic Particles: Asymptotic Behavior, Pointwise Lower Bounds and Regularity. Commun. Math. Phys. 331, 545–591 (2014). https://doi.org/10.1007/s00220-014-2089-7
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DOI: https://doi.org/10.1007/s00220-014-2089-7