Simultaneous Quenching for Semilinear Parabolic System with Localized Sources in a Square Domain

Wai Yuen Chan
2019 Journal of Applied Mathematics and Physics  
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.
doi:10.4236/jamp.2019.77099 fatcat:u2b5nq7xfjamnhm5ncxxzujvyu