SSE Weekly Colloquium | 理工学院系列研讨会邀请

The School of Science and Engineering is committed to creating a platform for students and faculty members to exchange ideas and explore cutting-edge research developments in various fields of science and engineering. Starting from 2021 fall, SSE will organize the "Weekly Colloquium" series of seminars every Friday. Each week, SSE will invite our faculty members and distinguished guest speakers from outside the University to conduct academic seminars.  

All students and faculty members are invited to join the weekly colloquium!

About the Colloquium

The speaker on October 13 is Prof. Shengqing HU of SSE. The following is detailed information about the colloquium.

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Topic

Long Time Stability of KAM Tori for Derivative Nonlinear Schrödinger Equation

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Time

10:30 - 11:30 AM, October 13 (Friday)

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Venue

Room 119, University Library

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Speaker

Prof. Shengqing HU

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Host

Prof. Yuan CHEN

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Abstract

The studying of nearly integrable Hamiltonian system is very important in dynamical systems, the typical example is the solar system. After several decades of research, mathematicians found it represents quite complicated dynamical behaviors, such as the coexistence of KAM tori and Arnold's diffusion, the long time stability of solutions in Nekhoroshev’s sense. Since 1980s, the similar phenomenon are discovered for infinite dimensional Hamiltonian systems defined by some partial differential equations (PDEs) by some researchers. In this talk, we will firstly introduce the development of these theories in finite and infinite Hamiltonian systems. Then, we will talk about its application on some Hamiltonian PDEs. Finally, we will show the long time stability of KAM tori for derivative nonlinear Schrödinger equation.

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The Speaker

Dr. Shengqing HU received her B.S. from School of Mathematical Sciences at Sichuan University in 2013 and her Ph.D. from School of Mathematical Sciences of Peking University in 2018. During her Ph.D., she spent one year in Brigham Young University. From 2018 to 2020, she worked as a postdoctoral fellow in the Department of Mathematics of Nanjing University. Her research interests include: differential equations and dynamical systems, KAM theory, Hamilton-Jacobi equation, variational method, etc.

School Profile

School of Science and Engineering is located in Shenzhen, a core city of the Guangdong-Hong Kong-Macao Greater Bay Area. Adhering to the rich CUHK's academic tradition with high emphasis on humanity elements, the School is committed to nurturing innovative technology leaders embracing China and the world with global visions and social responsibility.

As one of the founding schools of the University, SSE has so far offered 7 Undergraduate Programmes: Mathematics and Applied Mathematics, Chemistry, Electrical and Computer Engineering, New Energy Science and Engineering, Materials Science and Engineering, Physics, Financial Engineering. 3 Taught Postgraduate Programmes: Communication Engineering, Artificial Intelligence and Robotics，Supply Chain and Logistics Management. 7 Research Postgraduate Programmes/PhD programmes: Computer and Information Engineering, Materials Science and Engineering, Energy Science and Engineering, Mathematics, Physics, Chemistry (Approval Pending), Biomedical Engineering. Following the lofty educational philosophy and sound academic system of CUHK, SSE and its extraordinary faculty from all over the world have produced a succession of outstanding graduates. Even under the complex international situation of the global pandemic, SSE graduates still secured a high employment rate.

This series of seminars is open to all students and faculty members, and no pre-registration is required. Let's learn about the beauty of science and engineering together!

Interactive Multimedia Lab

The Interactive Multimedia Lab (or Room 119) is a teaching innovation lab where instructors and students can experiment with active learning techniques and interactive tools in the University library. It accommodates lectures, conferences, workshops, project demonstrations, and club activities.

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