一类具梯度项的非线性退化抛物型方程组的爆破

Blow Up For A Class of Nonlinear Degenerate Parabolic Equation Systems with Gradient Terms

本文讨论一类具梯度项的非线性抛物型方程组的初边值问题:■通过利用函数F_1与F_2的凸性,得到了问题(Ⅰ)的解的若干爆破性质。

This paper deals with the initial-boundary value problem of a class of nonlinear parabolic equation systems with gradient terms: ■ By using the concavity of function F_1 and F_2, Some blow-up behaviors of the solution of Problem(I) are obtained。