SSE Weekly Colloquium

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 April 14 is Prof. Xingbin PAN of SSE. The following is detailed information about the colloquium.

Topic: About Curl: Known and Unknown

Time: 10:30 - 11:30, April 14 (Friday)

Venue: Teaching D 102

Speaker: Prof. Xingbin PAN

Host: Prof. Shihua GONG

Abstract

Curl of vector fields is well known. Among other things the connection between analysis respect of curl and the geometry and topology of the domain is most interesting yet not well understood. Many physical phenomena are described by partial differential equations involving curl, for instance the Maxwell equations of electromagnetism, the Ginzburg-Landau equations for superconductivity, and the Landau-de Gennes equations for liquid crystals. From PDE point of view, behind the Ahanorov-Bohm effect and the Little-Parks experiment are the effects of domain topology. This observation motivated us to propose Maxwell-Stokes system, which is a partial differential system involving second order curl, the main feature of which is the interaction of domain topology and analysis. The first example of Maxwell-Stokes system is the nonlinear magneto-static model involving topological parameters. This is a system on a three-dimensional bounded domain which is multiply-connected and has holes, and under a nonlinear relation between the magnetic induction and the magnetic field. The equation of the model contains topological parameters consisting of a Neumann field and a Dirichlet field, which represent the effects of domain topology. Investigation of this system yields the generalized de Rham lemma and new formula of representation of curl functionals, which are used together with the reduction methods to give existence and regularity of the solutions. The second example is the Meissner equation of superconductors. Investigation of this quasilinear curl system in the degenerate case yields a theory of degenerate curl, and motivated recent progresses on static and evolutionary Maxwell-Stokes system.

The Speaker

Xingbin Pan is currently a professor at School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, China. He received PhD degree from Shandong University, China, in 1987. Since then, he worked in Zhejiang University till 2004 (Assistant Professor 1987-1991, Associate Professor 1991-1993, Professor 1993-2004), and in East China Normal University from 2004 to 2020 as Zijiang Distinguished Professor. Xingbin Pan has been working on nonlinear partial differential equations and systems, calculus of variations, mathematical theory of superconductivity, liquid crystals and electromagnetism.

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 (Approval Pending), Financial Engineering. 3 Taught Postgraduate Programmes: Supply Chain and Logistics Management, Communication Engineering, Artificial Intelligence and Robotics (Approval Pending). 6 Research Postgraduate Programmes/PhD programmes: Computer and Information Engineering, Materials Science and Engineering, Energy Science and Engineering, Mathematics, Physics (Approval Pending), Chemistry (Approval Pending). 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!