Simultaneous and non-simultaneous quenching for coupled parabolic system

• Published in: Applicable analysis Vol. 94; no. 2; pp. 233 - 250
• Main Authors: Ji, Rui Hong, Qu, Cheng Yuan, Wang, Li Dong
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 01.02.2015; Taylor & Francis Ltd
• Subjects: Algebra; Boundaries; characteristic algebraic system; Classification; Flux; Joining; non-simultaneous quenching; Nonlinearity; Parabolas; Primary 35K55; Quenching; quenching rate

In this paper, we study the quenching phenomena for a one-dimensional parabolic system coupled by non-linear boundary flux. First, we identify simultaneous and non-simultaneous quenching, then establish four kinds of simultaneous quenching rates, which are represented via the characteristic algebrai...