- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 62 Issue: 2
- THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM
THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM
Authors : Burhan Selcuk
Pages : 29-36
Doi:10.1501/Commua1_0000000696
View : 8 | Download : 4
Publication Date : 2013-08-01
Article Type : Research
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 rateKeywords : Parabolic system, boundary condition, quenching, quenching point, quenching time, maximum principles