一类非牛顿渗流方程爆破界的估计

摘要

本文利用拟线性常微分方程解的非存在性定理得到了一类拟线性反应扩散方程(非牛顿渗流方程)爆破界的估计,从而推广了半线性反应扩散方程(牛顿渗流方程)相应结果.%In this paper, blow-up estimates for a class of quasilinear reaction-diffusionequations(non-Newtonian filtration equations) in term of the nonexistence result forquasilinear ordinary differential equations are established to extends the result for semi-linear reaction-diffusion equations(Newtonian filtration equations).