A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is
Inelastic Boltzmann equation driven by a particle thermal bath
Kinetic and Related Models
We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient α ∈ (0, 1), under the thermalization induced by a host medium with fixed e ∈ (0, 1] and a fixed Maxwellian distribution. When the restitution coefficient α is close to 1 we prove existence and uniqueness of global solutions considering the close-toequilibrium regime. We also study the long-time behaviour of these solutions and prove a convergence to equilibrium with an exponential rate.doi:10.3934/krm.2021018 fatcat:765eips4gnekpjmmynwftrrv6q