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一类对数形式退缩抛物型方程组解的整体存在性与爆破

孙仁斌

中南民族大学学报(自然科学版)2017,Vol.36Issue(1):119-122,4.
中南民族大学学报(自然科学版)2017,Vol.36Issue(1):119-122,4.

一类对数形式退缩抛物型方程组解的整体存在性与爆破

Global Existence and Blow-up for a Degenerate Parabolic System Come from Logarithmic Function

孙仁斌1

作者信息

  • 1. 中南民族大学 数学与统计学学院,武汉 430074
  • 折叠

摘要

Abstract

In this paper, a class of initial-boundary value problem of degenerate parabolic system come from logarithmic function was considered.The local existence of solution was proved by approximation method.The condition of global existence of the solution was obtained by the upper solution of the characteristic function, and the blow-up condition and the upper bound of the blow-up time were obtained by using the characteristic function.

关键词

退缩抛物型方程组/局部解/整体解/爆破

Key words

degenerate parabolic system/local solution/global solution/blow-up

分类

数理科学

引用本文复制引用

孙仁斌..一类对数形式退缩抛物型方程组解的整体存在性与爆破[J].中南民族大学学报(自然科学版),2017,36(1):119-122,4.

基金项目

国家自然科学基金资助项目(61374085) (61374085)

中南民族大学学报(自然科学版)

OACSTPCD

1672-4321

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