Author(s)

Wai Yuen Chan

Department of Mathematics, Texas A&M University, Texarkana, TX, USA.

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.

Simultaneous Quenching, Parabolic System, Conformal Mapping

Chan, W. (2019) Simultaneous Quenching for Semilinear Parabolic System with Localized Sources in a Square Domain. Journal of Applied Mathematics and Physics, 7, 1473-1487. doi: 10.4236/jamp.2019.77099.