Inelastic Boltzmann equation driven by a particle thermal bath

@article{Sanabria2021InelasticBE,
  title={Inelastic Boltzmann equation driven by a particle thermal bath},
  author={Rafael Sanabria},
  journal={Kinetic \& Related Models},
  year={2021}
}
  • Rafael Sanabria
  • Published 17 January 2020
  • Mathematics
  • Kinetic & Related Models
<p style='text-indent:20px;'>We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient <inline-formula><tex-math id="M1">\begin{document}$ \alpha\in(0,1) $\end{document}</tex-math></inline-formula>, under the thermalization induced by a host medium with fixed <inline-formula><tex-math id="M2">\begin{document}$ e\in(0,1] $\end{document}</tex-math></inline-formula> and a fixed Maxwellian distribution. When the restitution… 

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topics covered. For example, one could use Fourier-transform techniques and Gaussian statistics to provide an alternative derivation for the significance of sequence-alignment scores from random-walk