Speaker：Dr. Ke Lin, Southwestern University of Finance and Economics

Title:On global solutions and blow-up for a short-ranged chemical signaling loop

Time：2018-04-24, 16:00-17:00

Venue：Room 316 of Environment Building, Rennin University

Abstract: In this talk, we consider the global boundedness and blow-up of solutions to a two-species and two-stimuli chemotaxis model, in which the process of the species results in a short-ranged chemical signaling loop. Explicit conditions on the initial data are given for the simultaneous global boundedness and simultaneous finite-time blow up of classical solutions. More precisely, since the dynamic of one species are expected to be essentially determined by the other one through this chemotactic signaling loop between two cell types, it is possible to find that smallness of mass of each species implies global solvability, whereas, largeness of masses induce blow-up to occur. These improve the known existing knowledge where smallness of total masses of both two species are required.