we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut Δu − u−p1v−q1 , vt Δv − u−p2v−q2 . The solutions of the system quenches in finite time for any initial data are obtained, and the blow-up of time derivatives at the quenching point is verified. Moreover, under appropriate hypotheses, the criteria to identify the simultane...

In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform bounds on the blow-up rates of the perturbed problems. We also present several examples. Among the...

In [] Rammaha and Sakuntasathien studied the global well posedness of the solution of problem (.). Agre and Rammaha [] studied the global existence and the blow up of the solution of problem (.) for k = l = θ = = , and also Alves et al. [] investigated the existence, uniform decay rates and blow up of the solution to systems. After that, the blow up result was improved by Houari []. Al...

This paper is devoted to analyse a case of singularity formation in infinite time for a semilinear heat equation involving linear diffusion and superlinear convection. A feature to be noted is that blow-up happens not for the main unknown but for its derivative. The singularity builds up at the boundary. The formation of inner and outer regions is examined, as well as the matching between them....