一类非弹性碰撞动力学方程的解

Solution to One-dimensional Boltzmann Equation with Inelastic Collisions

研究一类一维非弹性碰撞动力学方程,提出了一种新的拟线性方法,证明了该类方程具有多项式衰减解,并利用Bellomo、Toscani、Polewczak、Ha等人的工作得到了该解的L1稳定性.

In this paper, one-dimensional Boltzmann equation with inelastic collisions is studied, and a new simulated-linearization method is put forward. The solution to the equation is proved to be controlled by the initial value. With the work of Bellomo, Toscani, Polewczak and Ha, L1 stability of the solution is gained.