1School of mathematics and statistics, Southwest University, Chongqing, 400715, P. R. China.
2School of mathematics and physics, Chongqing University, Chongqing, 400044, P. R. China.
*Corresponding author: E-mail: zhoujunmath@hotmail.com.
This paper deals with the blow-up rate for a porous medium equation with convection and a nonlinear boundary flux. By using the scaling method, we obtain the blow-up rate which is determined by the interaction between the diffusion and the boundary flux. Comparing with the previous results for the porous medium model without convection, we observer that the gradient term included here does not affect the blow-up rates for solutions.
Parabolic equation, Convection, Nonlinear boundary flux, Blow-up
