Professor Zhang Jian, Professor Zhong Shouming and Professor Zhang Weinian were invited to give academic lectures in our college

College of Applied Mathematics    Reviewer:

On the morning of December 4th, invited by the School of Applied Mathematics, Professor Zhang Jian, Professor Zhong Shouming from University of Electronic Science and Technology of China, and Professor Zhang Weinian from Sichuan University presented the topic 《Variational correlation between nonlinear Schrödinger equations with differential potentials》 in the meeting room 6 of the Administration Building Academic lectures, 《Study of Synchronous Properties of Complex Network Systems》, and 《Ininvariant Manifolds with/ Without Spectral Gap》. This academic lecture was presided over by President Zhou Yuqian, and teachers and students of the School of Applied Mathematics actively participated in the lecture.

Professor Zhang Jian introduced some nonlinear Schrodinger equations with differential potentials. Firstly, the variational properties of the time-independent Schrodinger equation are discussed. Then, the optimal conditions and sufficient conditions for the existence of global solutions of the Cauchy problem are established. In particular, the comparative relations between different ground states are found.

Shou-ming zhong professor for network widespread in nature and human society, such as food chain network, neural networks, protein networks, infectious diseases, such as the complicated network and its complexity phenomenon explained, and then focuses on the mathematical model of complex network, complex network research team synchronized methods and synchronized between results of the problem.

The main content of Professor Zhang's report is to discuss the invariant manifolds with or without spectral gaps, and give the approximation of the pseudo hyperbolic manifolds with gaps, and give the existence and smoothness of the invariant submanifolds on the central manifolds with no gaps.

After the lecture, the teachers and students enthusiastically participated in the questions and discussions. The experts answered the questions in the course of listening to the lecture in detail, and had an in-depth discussion with the students on the related problems encountered in the academic research. This exchange activity was warmly received by the teachers and students present, which further expanded the students' research thinking, provided diversified academic thinking, and effectively strengthened the students' academic quality. The School of Applied Mathematics will make persistent efforts to strengthen and improve academic exchanges, and provide a better platform for the academic growth of teachers and students.