研讨班报告

调和分析和偏微分方程研讨班:Gibbs dynamics for weakly dispersive nonlinear Schrodinger equation

发布时间:2024-01-16
 

中科院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班

报告人Yuzhao Wang (University of Birmingham)

 Gibbs dynamics for weakly dispersive nonlinear Schrodinger equation

  2024.01.16(星期二)10:00-11:00

 点:思源楼S813

  要:Bourgain-Bulut developed a new strategy for constructing weak global solutions to dispersive equations in low regularity regimes. However, it is not clear if the solutions constructed via their argument satisfy the flow property, which is crucial in applying the Poincare recurrence principle and answering Zakharov's question. In this talk, we use the weakly dispersive nonlinear Schrodinger equation as an example to showcase how the recently developed argument by Denng-Nahmod-Yue can help us recover the flow property.


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