Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633905 | Applied Mathematics and Computation | 2008 | 10 Pages |
Abstract
This paper deals with finite time quenching for one-dimensional heat equations coupled via negative singular boundary sources in the more general product form of two component powers u-p1v-q1 and u-p2v-q2. Differently from the generally considered, there are two additional singular factors, namely, u-p1 and v-q2 for the boundary sources of u and v, respectively. We at first propose a criterion to distinguish simultaneous and non-simultaneous quenching, and then determine all possible blow-up rates in the model, three for simultaneous quenching and two for non-simultaneous quenching, under different nominations. This shows real contributions of the two additional singular factors to the quenching behavior of solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ruihong Ji, Sining Zheng,