Quenching for a Diffusion System with Coupled Boundary Fluxes
Applied and Computational Mathematics
Volume 5, Issue 1, February 2016, Pages: 18-22
Received: Jan. 6, 2016; Accepted: Jan. 20, 2016; Published: Feb. 18, 2016
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Authors
Haijie Pei, College of Mathematic and Information, China West Norm University, Nanchong, P. R. China
Wenbo Zhao, College of Mathematic and Information, China West Norm University, Nanchong, P. R. China
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Abstract
In this paper, we investigate a diffusion system of two parabolic equations with more general singular coupled boundary fluxes. Within proper conditions, we prove that the finite quenching phenomenon happens to the system. And we also obtain that the quenching is non-simultaneous and the corresponding quenching rate of solutions. This extends the original work by previous authors for a heat system with coupled boundary fluxes subject to non-homogeneous Neumann boundary conditions.
Keywords
Quenching, Quenching Rate, Quenching Point, Singular Term, Parabolic System
To cite this article
Haijie Pei, Wenbo Zhao, Quenching for a Diffusion System with Coupled Boundary Fluxes, Applied and Computational Mathematics. Vol. 5, No. 1, 2016, pp. 18-22. doi: 10.11648/j.acm.20160501.13
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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