Blow-up Estimates For A Parabolic System With Nonlinear Boundary Conditions

This paper deals with a parabolic system, cross-coupled via a nonlinear source and a nonlinear boundary flux. we get four different simultaneous blow-up rates in different regions of parameters. It is observed that the blow-up rates are independent of the nonlinear boundary absorption terms.In the introduction, we give the background to the study of nonlinear parabolic equations. In Chapter 2, we state some primary tools related to this paper. In chapter 3, we give a simple depiction for the main problem and results studied in this paper. We will introduced the so called characteristic algebraic system related to the problem and get simple descriptions for the blow-up criteria. In Chapter 4, we establish the blow-up rate by using a series of classic methods. Finally, we give some remarks on the conclusions obtained in this paper.