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

we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut=Δu−u−p1v−q1, vt=Δv−u−p2v−q2. The solutions of the system quenches in finite time for an...

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Main Authors:	Shouming Zhou, Chunlai Mu
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Boundary Value Problems
Online Access:	http://dx.doi.org/10.1155/2010/797182

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spelling	doaj-f02f86d3b3dd4463862f52038d2af1512020-11-25T01:30:19ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-01201010.1155/2010/797182Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption TermsShouming ZhouChunlai Muwe devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut=Δu−u−p1v−q1, vt=Δv−u−p2v−q2. 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. http://dx.doi.org/10.1155/2010/797182
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Shouming Zhou Chunlai Mu
spellingShingle	Shouming Zhou Chunlai Mu Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms Boundary Value Problems
author_facet	Shouming Zhou Chunlai Mu
author_sort	Shouming Zhou
title	Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
title_short	Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
title_full	Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
title_fullStr	Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
title_full_unstemmed	Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
title_sort	quenching for a reaction-diffusion system with coupled inner singular absorption terms
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2762 1687-2770
publishDate	2010-01-01
description	we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut=Δu−u−p1v−q1, vt=Δv−u−p2v−q2. 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.
url	http://dx.doi.org/10.1155/2010/797182
work_keys_str_mv	AT shoumingzhou quenchingforareactiondiffusionsystemwithcoupledinnersingularabsorptionterms AT chunlaimu quenchingforareactiondiffusionsystemwithcoupledinnersingularabsorptionterms
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Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms

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