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arXiv · 2002.02811

Inelastic Boltzmann Equation Driven by a Particle Thermal Bath

Rafael Sanabria
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Abstract

We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient $\alpha\in(0,1)$, under the thermalization induced by a host medium with a fixed Maxwellian distribution and any fixed $e\in(0,1]$. When the restitution coefficient $\alpha$ is close to 1 we prove existence and uniqueness of global solutions considering the close-to-equilibrium regime. We also study the long-time behaviour of these solutions and prove a convergence to equilibrium with an exponential rate.

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Rafael Sanabria. 2020-01-17. Inelastic Boltzmann Equation Driven by a Particle Thermal Bath. https://arxiv.org/abs/2002.02811

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