THE QUENCHING BEHAVIOR OF A PARABOLIC SYSTEM

Year 2013, Volume: 62 Issue: 2, 29 - 36, 01.08.2013

Burhan Selcuk

https://doi.org/10.1501/Commua1_0000000696

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

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• Current address : Department of Computer Engineering, Karabuk University, Balıklarkayası Mevkii, 78050, TURKEY.
• URL: http://communications.science.ankara.edu.tr/index.php?series=A1 E-mail address : [e-mail]