一类具有扰动项的非牛顿流方程解的爆破性

Blow-up of Solutions to a Class of Non-Newtonian Fluid Equations with Damping Term

考虑一类具有扰动项的非牛顿流模型初边值问题解的爆破性,利用能量估计方法,在非线性指数q的不同取值范围下,通过构造与分析不同微分不等式证明了问题的解必在有限时刻发生爆破.

We studied the blow-up property of solutions to a class of non-Newtonian fluid equations with damping term.Using energy method and constructing and analyzing different types of differential inequality according to the different ranges of nonlinear index q,we proved that the solution of the problem will blow up in finite time.