丘成桐中心几何与方程组讨论班
SEU Yau Center Geometry and PDE Seminar
Title: On a Class of Functional Inequalities and their Applications to Fourth-Order Nonlinear Parabolic Equations
Speaker: Xiangsheng Xu（许祥胜）
Affiliation：Mississippi State University（密西西比州立大学）
Time: 10:00-11:00, December 19th (Thurs.), 2024 (GMT+8)
Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter：Feida Jiang（蒋飞达）
Abstract:
This is a joint work with Jian-Guo Liu of Duke University. We study a class of fourth order nonlinear parabolic equations which include the thin-film equation and the quantum drift-diffusion model as special cases. We investigate these equations by first developing functional inequalities of the type
which seem to be of interest on their own right.
Speaker:
Dr. Xiangsheng Xu is currently a professor of mathematics at Mississippi State University. He received his B.S. degree from Nanjing University in 1982 and his Ph.D. in mathematics from the University of Texas at Austin in 1988. After spending two years at Texas A&M University as a visiting assistant professor upon his graduation, he accepted a tenure-track position at the University of Arkansas in 1990. He left there to join Mississippi State University in 1995 and has stayed there ever since. Over the years, he has also paid short term visits to many institutions around the world. Semester-long visits include Northwestern University in 1998, Rutgers University in 2002, and Duke University in 2015. His main scientific contributions are in the areas of mathematical analysis of electrical heating of conductors (the so-called thermistor problem), crystal surface growth and many others.