Chang, C., Hsu, Y. and Liu, H.T. (2014) Quenching Behavior of Parabolic Problems with Localized Reaction Term. Mathematics and Statistics, 2, 48-53.
has been cited by the following article:
TITLE: Simultaneous Quenching for Semilinear Parabolic System with Localized Sources in a Square Domain
AUTHORS: Wai Yuen Chan
KEYWORDS: Simultaneous Quenching, Parabolic System, Conformal Mapping
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.7, July 19, 2019
ABSTRACT: This paper studies quenching properties of solutions of a semilinear parabolic system with localized reaction sources in a square domain. The system has the homogeneous Dirichlet boundary condition and null initial condition. We prove that solutions quench simultaneously, and compute approximated critical values of the system using a numerical method.