Non-simultaneous quenching in a semilinear parabolic system with multi-singular reaction terms

Zhe Jia, Zuodong Yang, Changying Wang · DOAJ (DOAJ: Directory of Open Access Journals) · 2019

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.

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