THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM

Authors : Burhan SELCUK

Pages : 29-36

Doi:10.1501/Commua1_0000000696

View : 21 | Download : 9

Publication Date : 2013-08-01

Article Type : Research Paper

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
Keywords : Parabolic system, boundary condition, quenching, quenching point, quenching time, maximum principles