Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842109 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 10 Pages |
Abstract
This paper deals with blow-up solutions in parabolic equations coupled via nonlocal nonlinearities, subject to homogeneous Dirichlet conditions. Firstly, some criteria on non-simultaneous and simultaneous blow-up are given, including four kinds of phenomena: (i) the existence of non-simultaneous blow-up; (ii) the coexistence of non-simultaneous and simultaneous blow-up; (iii) any blow-up must be simultaneous; (iv) any blow-up must be non-simultaneous. Next, total versus single point blow-up are classified completely. Moreover, blow-up rates are obtained for both non-simultaneous and simultaneous blow-up solutions.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Bingchen Liu, Fengjie Li,