Title:Multi solitary waves to stochasticnonlinear Schrodinger equations
Speaker: Deng Zhang（Shanghai Jiao Tong University）
Time: Friday, April 28, 2023, 14:00-15:00
Location: Zoom ID:876 0592 8254，Password: 2023
Abstract：In this talk we will present the recent work on the multisolitary waves to stochastic nonlinear Schrodinger equations drivenby linear multiplicative noise, in both the mass critical andsubcritical cases. Unlike in the deterministic case, the existenceof stochastic multi-solitons cannot be obtained from that ofstochastic multi-bubble blow-up solutions, due to the absence ofpseudo-conformal invariance. We present a constructive proof byutilizing the rescaling approach and the modulation method. Theconstructed multi-solitons behave asymptotically as a sum offinitely many solitary waves, and the convergence rate of theremainders can be of either exponential or polynomial type, whichreflects the effects of noise on the asymptotical behavior ofsolutions.
Bio: 张登，上海交通大学数学科学学院副教授，2014年博士毕业于中科院数学与系统科学研究院和德国比勒费尔德大学，师从中科院马志明院士和德国Michael Rockner教授。研究方向主要包括随机偏微分方程、随机最优控制，随机矩阵理论等。
More information about HIT-WHU Seminar on Stochastic Analysis and Algorithms can be found here.