分析和PDE讨论班—Universal dynamics for the logarithmic Schrodinger equation
主 题: 分析和PDE讨论班—Universal dynamics for the logarithmic Schrodinger equation
报告人: Isabelle Gallagher (Université Paris-Diderot)
时 间: 2017-07-24 16:00-17:00
地 点: 理科1号楼1303
Abstract: We consider the Schrodinger equation with a logarithmic nonlinearity and show that this type ofnonlinearity affects strongly the long time behaviour of the solution: thedispersion is faster, by a logarithmic factor, than the dispersion of the freeequation, and the solutions behave asymptotically, in modulus, according to auniversal Gaussian profile. This corresponds to a joint work with RémiCarles.