论文标题
由粒子热浴驱动的非弹性玻尔兹曼方程
Inelastic Boltzmann Equation Driven by a Particle Thermal Bath
论文作者
论文摘要
我们考虑了无弹性硬球的空间不均匀的玻尔兹曼方程，并在（0,1）$（0,1）$中持续恢复系数$α\，在带有固定的Maxwellian分布的主机介质引起的热化下，并在（0,1]中的任何固定$ e \ In（0,1）$中的任何固定$α$ nestique and Inalitive and Inlique and Inliquie and Inliquiquie and Inceftife necriped and veriquiquique是我们的不合格，我们证明了coreftique的不合格。接近平衡的状态。
We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient $α\in(0,1)$, under the thermalization induced by a host medium with a fixed Maxwellian distribution and any fixed $e\in(0,1]$. When the restitution coefficient $α$ 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.
