中文摘要：

利用尺度变换方法和抛物方程的正则性估计，证明了一类含有非线性梯度项的退化多孔介质方程解的爆破率，它是由扩散项和边界流相互作用决定的．与以前有关的结论比较，有趣的发现是，次数不超过2的梯度项不会影响解的爆破率．

英文摘要：

Blow-up rate was obtained for a porous medium equation with nonlinear gradient term and a nonlinear boundary flux. By using the scaling method and the regularity estimates of parabolic equations, the blow-up rate which was determined by the interaction between the diffusion and the boundary flux was gotten. Interestingly, compared with the previous results, the gradient term which exponent does not exceed 2 will not affect the blow-up rate for solutions.