| Contents |
| This session deals with the blowing up and global solutions of a nonlinear and weakly coupled parabolic system, containing gradient terms, under Dirichlet boundary conditions. The blow-up phenomena of its positive solutions are analyzed and, in particular, an analytical estimate of the lower bound of the blow-up time is obtained. Moreover, we propose a resolution algorithm capable to solve the original problem. The numerical examples both confirm the theoretical result and allow to observe other interesting phenomena connected to the behavior of the solutions, as for instance their global existence. |
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