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
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 6721–1
- DOI
- —
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