论文标题
Vlasov-Manev-Fokker-Planck系统的弱解决方案的全球存在
Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system
论文作者
论文摘要
我们将Vlasov-Manev-Fokker-Planck（VMFP）系统考虑到三个维度，这与Vlasov-Poisson-Fokker-Planck不同，因为它具有$ -1/r -1/r-1/r-1/r^2 $的引力潜力，而不是牛顿一个。对于VMFP系统，我们建立了弱解决方案的全球及时存在。该证明扩展到几个相关的动力学系统。
We consider the Vlasov-Manev-Fokker-Planck (VMFP) system in three dimensions, which differs from the Vlasov-Poisson-Fokker-Planck in that it has the gravitational potential of the form $-1/r - 1/r^2$ instead of the Newtonian one. For the VMFP system, we establish the global-in-time existence of weak solutions. The proof extends to several related kinetic systems.
