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- Title
Inelastic Boltzmann equation driven by a particle thermal bath.
- Authors
Sanabria, Rafael
- Abstract
We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient , under the thermalization induced by a host medium with fixed and a fixed Maxwellian distribution. When the restitution coefficient 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.
- Subjects
COEFFICIENT of restitution; MARKOV spectrum; EQUILIBRIUM
- Publication
Kinetic & Related Models, 2021, Vol 14, Issue 4, p639
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2021018