Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms
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 ad...
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Texas State University
2019-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/100/abstr.html |
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doaj-edc95ce5a5b748eeb2ed5e95b58ec3a62020-11-25T01:39:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-08-012019100,113Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction termsZhe Jia0Zuodong Yang1Changying Wang2 Nanjing Normal Univ., Nanjing, China Nanjing Normal Univ., Nanjing, China Qingdao Univ., Qingdao 266071, China 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.http://ejde.math.txstate.edu/Volumes/2019/100/abstr.htmlParabolic systemmulti-singular boundary fluxblow upnon-simultaneous quenching quenching rate |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhe Jia Zuodong Yang Changying Wang |
| spellingShingle |
Zhe Jia Zuodong Yang Changying Wang Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms Electronic Journal of Differential Equations Parabolic system multi-singular boundary flux blow up non-simultaneous quenching quenching rate |
| author_facet |
Zhe Jia Zuodong Yang Changying Wang |
| author_sort |
Zhe Jia |
| title |
Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms |
| title_short |
Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms |
| title_full |
Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms |
| title_fullStr |
Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms |
| title_full_unstemmed |
Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms |
| title_sort |
non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2019-08-01 |
| description |
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. |
| topic |
Parabolic system multi-singular boundary flux blow up non-simultaneous quenching quenching rate |
| url |
http://ejde.math.txstate.edu/Volumes/2019/100/abstr.html |
| work_keys_str_mv |
AT zhejia nonsimultaneousquenchinginasemilinearparabolicsystemwithmultisingularreactionterms AT zuodongyang nonsimultaneousquenchinginasemilinearparabolicsystemwithmultisingularreactionterms AT changyingwang nonsimultaneousquenchinginasemilinearparabolicsystemwithmultisingularreactionterms |
| _version_ |
1725048057811173376 |