Zhe Jia, Zuodong Yang, Changying Wang
Abstract:
This article concerns quenching properties of solutions for a semilinear parabolic
system with multi-singular reaction terms. We obtain sufficient conditions
for the existence of finite time quenching of global solutions.
The blow up of time-derivatives at the quenching point is verified.
In addition, we identify simultaneous and non-simultaneous quenching,
and provide a classification of parameters for the simultaneous quenching rates.
Submitted February 9, 2018. Published August 13, 2019.
Math Subject Classifications: 35K55, 35K65, 35A07.
Key Words: Parabolic system; multi-singular boundary flux; blow up;
non-simultaneous quenching; quenching rate.
Show me the PDF file (340 KB), TEX file for this article.
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Zhe Jia School of Mathematics Science Nanjing Normal University Nanjing 210023, China email: 1500516020@qq.com |
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Zuodong Yang School of Teacher Education Nanjing Normal University Nanjing 210097, China email: zdyang_jin@263.net |
| Changying Wang School of Data Science and Software Engineering Qingdao University, Qingdao 266071, China email: Wcing80@126.com |
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