Modified scattering of Vlasov-Poisson systems
主 题: Modified scattering of Vlasov-Poisson systems
报告人: Soonsik Kwon (KAIST, Korea)
时 间: 2014-12-16 15:00-16:00
地 点: 理科一号楼1312（主持人：郭紫华）
We study the asymptotic behavior of dispersing solutions to the Vlasov-Poisson system. It turns out that due to a long range interaction, we do not expect linear scattering. Instead, we prove a modified scattering result (or long range scattering result) of small and dispersing solutions. We find a quasi-free forward trajectory so that along the trajectory, the solution has an asymptotic limit. To find the quasi-free trajectory, we extract the logarithmic growth part of the Duhamel term, and absorb it into the effect of trajectory change. This is a collaboration with Sunho Choi.