Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2009-01-01

Journal: SCIENCE IN CHINA SERIES A-MATHEMATICS

Included Journals: SCIE

Volume: 52

Issue: 1

Page Number: 181-194

ISSN: 1006-9283

Key Words: nonlocal nonlinear sources; parabolic systems; critical exponent; blow-up rate; boundary layer profile; propagation of singularity

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.