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.