05-18【范恩贵】管楼1418 吴文俊数学重点实验室数学物理系列报告之2023-07

发布者:唐慧发布时间:2023-05-15浏览次数:10

题目:On the long-time asymptotics of the Novikov equation in solitonic regions of space-time


报告人:范恩贵,复旦大学 


时间:2023年5月18日(星期四)下午2:00-3:00


地点:东区管理科研楼1418教室


摘要:We study the long time asymptotic behavior for the Cauchy problem of the Novikov equation with 3x3 matrix spectral problem. According to the distribution of other four phase points on the jump contour, we can divide the upper half-plane (y,t)  into four space-time regions. We apply dbar steepest descent method to obtain the different long time asymptotic expansions of the solution in these different space-time solitonic regions. The corresponding residual error functions from singularities and a dbar-equation respectively.This is a joint work with Yiling Yang.