论文标题
定期估计和动力学方程中的开放问题
Regularity estimates and open problems in kinetic equations
论文作者
论文摘要
我们调查了一些有关玻尔兹曼和兰道方程的先验规律性估计的新结果，该结果符合相关宏观量的界限。我们还讨论了该地区的一些开放问题。特别是，我们描述了一些与全球良好的摆姿势问题相关的想法，用于库仑电位的太空固定方程。
We survey some new results regarding a priori regularity estimates for the Boltzmann and Landau equations conditional to the boundedness of the associated macroscopic quantities. We also discuss some open problems in the area. In particular, we describe some ideas related to the global well posedness problem for the space-homogeneous Landau equation for Coulomb potentials.
