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.
| Published in | Applied and Computational Mathematics (Volume 5, Issue 1) |
| DOI | 10.11648/j.acm.20160501.13 |
| Page(s) | 18-22 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Quenching, Quenching Rate, Quenching Point, Singular Term, Parabolic System
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APA Style
Haijie Pei, Wenbo Zhao. (2016). Quenching for a Diffusion System with Coupled Boundary Fluxes. Applied and Computational Mathematics, 5(1), 18-22. https://doi.org/10.11648/j.acm.20160501.13
ACS Style
Haijie Pei; Wenbo Zhao. Quenching for a Diffusion System with Coupled Boundary Fluxes. Appl. Comput. Math. 2016, 5(1), 18-22. doi: 10.11648/j.acm.20160501.13
AMA Style
Haijie Pei, Wenbo Zhao. Quenching for a Diffusion System with Coupled Boundary Fluxes. Appl Comput Math. 2016;5(1):18-22. doi: 10.11648/j.acm.20160501.13
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Download@article{10.11648/j.acm.20160501.13,
author = {Haijie Pei and Wenbo Zhao},
title = {Quenching for a Diffusion System with Coupled Boundary Fluxes},
journal = {Applied and Computational Mathematics},
volume = {5},
number = {1},
pages = {18-22},
doi = {10.11648/j.acm.20160501.13},
url = {https://doi.org/10.11648/j.acm.20160501.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20160501.13},
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.},
year = {2016}
}
TY - JOUR T1 - Quenching for a Diffusion System with Coupled Boundary Fluxes AU - Haijie Pei AU - Wenbo Zhao Y1 - 2016/02/18 PY - 2016 N1 - https://doi.org/10.11648/j.acm.20160501.13 DO - 10.11648/j.acm.20160501.13 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 18 EP - 22 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20160501.13 AB - 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. VL - 5 IS - 1 ER -
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