Research-Qualitative properties of the solution of a quasi-linear parabolic problem with a source term and a nonlocal absorption

Research

PDE Seminar

Qualitative properties of the solution of a quasi-linear parabolic problem with a source term and a nonlocal absorption

Speaker: BAI Xueli (Northwestern Polytechnical University)
Time: May 10, 2019, 14:30-15:30
Location: Conference Room 415, Hui Yuan 3#

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.