The quenching behavior of a parabolic system

Burhan Selçuk · Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics · 2013

In this paper, we study the quenching behavior of solution of aparabolic system. We prove finite-time quenching for the solution. Further,we show that quenching occurs on the boundary under certain conditions.Furthermore, we show that the time derivative blows up at quenching time.Finally, we get a quenching criterion by using a comparison lemma and we also get a quenching rate

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