论文标题
Smoluchowski凝血方程与速度依赖性
Smoluchowski coagulation equation with velocity dependence
论文作者
论文摘要
在本文中，我们介绍了Smoluchowski的凝结方程的变体，其位置和速度变量都以动力学视点为二阶（显微镜）凝结粒子系统的缩放限制。我们专注于在适当的加权空间中不同初始条件下的空间均匀病例中对PDE系统的严格研究，还研究了这种解决方案的规律性。
In the present article we introduce a variant of Smoluchowski's coagulation equation with both position and velocity variables taking a kinetic viewpoint arising as the scaling limit of a system of second-order (microscopic) coagulating particles. We focus on the rigorous study of the PDE system in the spatially-homogeneous case proving existence and uniqueness under different initial conditions in suitable weighted space, investigating also the regularity of such solutions.
