Convergence to self-similarity for ballistic annihilation dynamics

  title={Convergence to self-similarity for ballistic annihilation dynamics},
  author={Ricardo J. Alonso and V{\'e}ronique Bagland and Bertrand Lods and V{\'e}ronique Bagland},
  journal={Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},

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It is rigorously proved that, in some mean-field limit, a suitable hierarchy of kinetic equations is recovered for which tensorized solution to the homogenous Boltzmann with annihilation is a solution.

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<p style='text-indent:20px;'>We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient <inline-formula><tex-math

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<p style='text-indent:20px;'>The spectrum structure of the linearized Boltzmann operator has been a subject of interest for over fifty years and has been inspected in the space

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In this paper, we consider the stochastic dynamics of a finite system of particles in a finite volume (Kac-like particle system) which annihilate with probability α∈(0,1)\documentclass[12pt]{minimal}



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