Boundary Value Problems
Volume 2010 (2010), Article ID 797182, 15 pages
Research Article

Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms

College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China

Received 13 May 2010; Accepted 5 July 2010

Academic Editor: Claudianoro. Alves

Copyright © 2010 Shouming Zhou and Chunlai Mu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut=Δuup1vq1, vt=Δvup2vq2. The solutions of the system quenches in finite time for any initial data are obtained, and the blow-up of time derivatives at the quenching point is verified. Moreover, under appropriate hypotheses, the criteria to identify the simultaneous and nonsimultaneous quenching are found, and the four kinds of quenching rates for different nonlinear exponent regions are given. Finally, some numerical experiments are performed, which illustrate our results.