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Dergiler / 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

Sayfa
6721–1
DOI
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Abstract

In this paper, we study the quenching behavior of solution of aparabolic system. We prove …nite-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 wealso get a quenching rate