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