Blow-Up Solution for the Degenerate Quasilinear Parabolic System with Nonlinear Boundary Condition

摘要

In this paper, we discuss the global existence and blow-up of the solution to the quasilinear parabolic system with nonlinear boundary condition. We also discuss the blow-up set of the blow-up solution and obtain the blow-up rate of the blow-up solution and prove the existence of the self-similar blow-up solution.