Academic Report
Title: Qualitative properties of the solution of a quasi-linear parabolic problem with a source term and a nonlocal absorption
Reporter: BAI Xueli (Northwest University of Technology)
Time: May 31, 2019 (Thursday) PM 16:00-17:00
Location: A1101# room, Innovation Park Building
Contact: CAO Yang
Abstract: We mainly consider the longtime behavior of a quasi-linear parabolic problem with nonlocal absorption. It is proved that all the solution emitted from positive initial data will converge to a steady state in C([0,a]). The main difficulty of this problem is that the comparison principle is not always available and lack of regularity.
The brief introduction to the reporter: Bai Xueli received his Ph. D. degree from Dalian University of Technology in April 2012. His research direction is "characterization of global and non-global critical indices of solutions". From September 2012 to June 2015, Professor Ni Weiming was trained in the Center of Partial Differential Equations of East China Normal University for postdoctoral research. From July 2015 to now, he has worked in the Faculty of Science of Northwest Polytechnic University. From May 2017 to October 2018, he was funded by Humboldt Foundation to collaborate with famous mathematician Michael Winkler at Padborn University in Germany. At present, we mainly focus on the application of partial differential equations in biomathematics, the stability of solutions and the long-term behavior of qualitative properties. In J. Functional Analysis, Calc. Var & PDE, Indiana Univ. Math. J. and other well-known mathematical journals, he has published more than ten papers, presided over the National Natural Science Foundation Youth Project, first-class funding from the China Post-doctoral Fund, and participated in one of the key projects of the National Natural Science Foundation of China, including two projects.
