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Open Access Research Article

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

Shouming Zhou* and Chunlai Mu

Author Affiliations

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

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Boundary Value Problems 2010, 2010:797182  doi:10.1155/2010/797182

Published: 20 July 2010

Abstract

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.