Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms
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Date
2019-08-13
Authors
Jia, Zhe
Yang, Zuodong
Wang, Changying
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Parabolic system, Multi-singular boundary flux, Blow up, Non-simultaneous quenching, Quenching rate
Citation
Jia, Z., Yang, Z., & Wang, C. (2019). Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms. <i>Electronic Journal of Differential Equations, 2019</i>(100), pp. 1-13.
Rights
Attribution 4.0 International