(1) Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, China;(2) School of Science, Dalian Fisheries University, Dalian, 116023, China
Abstract:
This paper deals with propagations of singularities in solutions to a parabolic system coupled with nonlocal nonlinear sources. The estimates for the four possible blow-up rates as well as the boundary layer profiles are established. The critical exponent of the system is determined also. This work was supported by the National Natural Science Foundation of China (Grant No. 10771024)