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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 2

THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM

Burhan SELCUK

Pages
29–36
DOI
—

Abstract

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