| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842475 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 7 Pages |
Abstract
In this paper, we study the quenching phenomenon for a reaction–diffusion system with singular logarithmic source terms and positive Dirichlet boundary conditions. Some sufficient conditions for quenching of the solutions in finite time are obtained, and the blow-up of time-derivatives at the quenching point is verified. Furthermore, under appropriate hypotheses, the non-simultaneous quenching of the system is proved, and the estimates of quenching rate is given.
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Authors
Chunlai Mu, Shouming Zhou, Dengming Liu,