论文标题
格林的功能和vlasov-Poisson-fokker-Planck系统的尖锐行为
Green's Function and Pointwise Behaviors of the Vlasov-Poisson-Fokker-Planck System
论文作者
论文摘要
本文研究了绿色函数的角度时空行为和vlasov-poisson-fokker-planck（VPFP）系统的全局解决方案。结果表明，绿色的功能由及时的扩散波呈指数衰减，但在空间中是代数，而奇异的动能波变得平稳，对于所有$（t，x，v）$。
The pointwise space-time behaviors of the Green's function and the global solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system in spatial three dimension are studied in this paper. It is shown that the Green's function consists of the diffusion waves decaying exponentially in time but algebraically in space, and the singular kinetic waves which become smooth for all $(t,x,v)$ when $t>0.$ Furthermore, we establish the pointwise space-time behaviors of the global solution to the nonlinear VPFP system when the initial data is not necessarily smooth in terms of the Green's function.
