论文标题
两种非惯性二元对齐碰撞的动力学模型
Two kinetic models for non-instantaneous binary alignment collisions
论文作者
论文摘要
考虑了一种具有非惯性二进制碰撞的新型动力学模型。碰撞是通过一对颗粒的关节状态空间中的运输过程描述的。相互作用是对齐类型的，其中粒子的状态相互接近。对于两个具有确定性或随机碰撞时间存在和溶液独特性的空间均匀模型，考虑了长时间的行为和瞬时极限，而后者导致玻尔兹曼类型的标准动力学模型。
A new type of kinetic models with non-instantaneous binary collisions is considered. Collisions are described by a transport process in the joint state space of a pair of particles. The interactions are of alignment type, where the states of the particles approach each other. For two spatially homogeneous models with deterministic or stochastic collision times existence and uniqueness of solutions, the long time behavior, and the instantaneous limit are considered, where the latter leads to standard kinetic models of Boltzmann type.
