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Dynamics of KdV-Burgers-type Systems

Time:Sep 26, 2021 Author:Professor Feng Zhaosheng Clicks:

Presentation time: 9:30-10:30, July 15, 2021 (Thursday)


Venue: Tencent Conference ID: 255 812 382


Speaker: Professor Feng Zhaosheng


Employer: School of Mathematical and Statistical Sciences, University of Texas-RGV, Edinburg, Texas 78539, USA


Organized by: School of Mathematics


Introduction to the Report:


In this talk, we are concerned with dynamical behavior of a class of the KdV-Burgers-type systems by starting with Burgers-type equations, and then focus on the higher-order KdV-Burgers equation, a partial differential equation that occupies a prominent position in describing some physical processes in motion of turbulence and other unstable process systems. By means of the associated equivalence algebra, the Abel operator and the Lie symmetry, explicit-implicit wave solutions and asymptotic behaviors are presented.


Brief Introduction of speaker:


Zhao Huijiang, second-class professor, recipient of the National Science Fund for Distinguished Young Scholars. Currently, he is the dean of School of Mathematics and Statistics, Wuhan University, member of the Teaching Steering Committee for Higher Education Mathematics of the Ministry of Education, member of the eighth Subject Assessment Group of Academic Degrees Committee of The State Council, and executive director of Chinese Mathematical Society. The research work on hyperbolic conservation laws and related problems won the second prize of natural Science Award of Ministry of Education in 2007 and the first prize of Natural Science Award of Hubei Province in 2008 respectively.


PREV:Elliptic partial differential equations and geometric analysis