时间：2025年5月17日9:00

地点：东校区第二教学楼2106（学术报告厅）

报告人：孙俊涛 山东理工大学 教授      

报告摘要：

In this talk, we investigate standing waves with prescribed mass for a class of Schrodinger equations with competing Van Der Waals type potentials, arising ina model of non-relativistic bosonic atoms and molecules. By developing anapproach based on a direct minimization of the energy functional on a new constrained manifold, we establish the existence of two normalized solutions for the corresponding stationary problem. One is a local minimizer with positive level and the other one is a global minimizer with negative level. Moreover, we find that the global minimizer is farther away from the origin than the local minimizer. Finally, we explore the relations between the ground state solution and the least action solution, and some dynamical behavior and scattering results are presented as well.

报告人简介：

孙俊涛，山东理工大学教授，博士生导师，数学与统计学院党委副书记、院长。入选“泰山学者青年专家”，“山东省杰青”，山东省自然科学二等奖（排名1），山东省优秀研究生指导教师。主持(完成)国家自然科学基金面上项目、青年基金，山东省杰青等省部级以上项目9项。主要从事偏微分方程、动力系统的理论研究，发表SCI 论文50 余篇。部分研究成果发表在《SIAMJ. Math. Anal.》，《Stud. Appl. Math.》，《J.Differential Equations》，《Nonlinearity》等期刊上。