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一类非牛顿渗流系统爆破界的估计

杨作东 陆启韶

杨作东, 陆启韶. 一类非牛顿渗流系统爆破界的估计[J]. 应用数学和力学, 2001, 22(3): 287-294.
引用本文: 杨作东, 陆启韶. 一类非牛顿渗流系统爆破界的估计[J]. 应用数学和力学, 2001, 22(3): 287-294.
YANG Zuo-dong, LU Qi-shao. Blow-up Estimates for a Non-Newtonian Filtration System[J]. Applied Mathematics and Mechanics, 2001, 22(3): 287-294.
Citation: YANG Zuo-dong, LU Qi-shao. Blow-up Estimates for a Non-Newtonian Filtration System[J]. Applied Mathematics and Mechanics, 2001, 22(3): 287-294.

一类非牛顿渗流系统爆破界的估计

基金项目: 国家自然科学基金资助项目(19872010);教育部博士学科点基金资助项目(98000619)
详细信息
    作者简介:

    杨作东(1961- ),男,河北三河人,博士.

  • 中图分类号: O175.25

Blow-up Estimates for a Non-Newtonian Filtration System

  • 摘要: 首先得到一类拟线性椭圆型方程组的正解的先验界估计和衰减性质,从而推出该方程组的径向非增正对称解的不存在性结果.利用此结果建立了一类拟线性反应扩散方程组(非牛顿渗流系统)的爆破界的估计,推广了半线性(Fujita型)反应扩散方程组的结果.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2000-04-14
  • 修回日期:  2000-11-29
  • 刊出日期:  2001-03-15

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