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Blow-up Estimates for a Non-Newtonian Filtration Equation

一类非牛顿渗流方程爆破界的估计(英文)
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摘要 In this paper, blow-up estimates for a class of quasiliuear reaction-diffusion equations(non-Newtonian filtration equations) in term of the nouexistence result for quasilinear ordinary differential equations are established to extends the result for semi-linear reaction-diffusion equations(Newtonian filtration equations). 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.
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2003年第1期7-14,共8页 数学研究与评论(英文版)
基金 Supported by the National Natural Science Foundation of China(10172011)
关键词 blow up estimate NON-EXISTENCE quasilinear reaction-diffusion equation. 半线性反应扩散方程 拟线性常微分方程 非牛顿渗流方程 爆破界 估计
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