题目：Long-time asymptotics for the defocusing NLS equation with step-like initial data

报告人：王灯山，北京师范大学

时间：2024年7月25日（周四）上午10:00-11:30

地点：东区第五教学楼5206教室

摘要： The long-time asymptotics for the defocusing NLS equation with step-like initial data is investigated by the Riemann-Hilbert formulation. Whitham modulation theory shows that there are six cases for this initial discontinuity problem according to the orders of the Riemann invariants. We formulate the leading-order terms and the corresponding error estimates for each region of the six cases by Deift-Zhou nonlinear steepest-descent method. It is demonstrated that the asymptotic solutions match very well with the results from Whitham modulation theory and the direct numerical simulations.