Quenching for a parabolic system with general singular terms

In this paper, we study a parabolic system with general singular terms and positive Dirichlet boundary conditions. Some su cient conditions for nite-time quenching and global existence of the solutions are obtained, and the blow-up of time-derivatives at the quenching point is veri ed. Furthermore, under some appropriate hypotheses, we prove that the quenching point is only origin and quenching of the system is non-simultaneous. Moreover, the estimate of quenching rate of the corresponding solution is established in this article.