论文标题
与随机数粒子的碰撞的广义玻尔兹曼方程的测量解决方案的稳定性
Stability of measure solutions to a generalized Boltzmann equation with collisions of a random number of particles
论文作者
论文摘要
在本文中，我们研究了进化非线性玻尔兹曼型方程的测量版，其中我们接受了颗粒的随机数量。我们首先考虑一个固定模型，并使用两种方法来找到其固定点：第一个基于Zolotarev seminorm，第二个基于Kantorovich-Rubinstein最大原理。然后考虑了Boltzmann型方程的动态版本，并显示其渐近稳定性。
In the paper we study a measure version of the evolutionary nonlinear Boltzmann-type equation in which we admit a random number of collisions of particles. We consider first a stationary model and use two methods to find its fixed points: the first based on Zolotarev seminorm and the second on Kantorovich-Rubinstein maximum principle. Then a dynamic version of Boltzmann-type equation is considered and its asymptotical stability is shown.
