位置：成果数据库 > 期刊 > 期刊详情页
具有局部化源项的扩散系统解的整体有界与爆破准则
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]玉林师范学院数学与信息科学学院,广西玉林537000
  • 相关基金：Supported by the NNSF of China （ 11071100）
作者： 凌征球[1]
关键词： 非线性扩散系统, 整体有界, 爆破, 上解, 下解, Nonlinear diffusion system, Global boundedness , Blow-up, Super-solution , Sub-solution
中文摘要：

文章研究一类同时具有正的Dirichlet边界条件与局部化源项的幂指数形式的扩散系统，得到系统正解的爆破准则与整体有界的条件．这些结果不仅扩充了已有的结论睁引，而且证明了系统的边界值￡o在决定问题解的爆破与否中起着关键的作用．

英文摘要：

This paper considers a localized diffusion system coupled via nonlinear reaction terms of power type with positive Dirichlet boundary value. The blow-up criteria and global boundedness conditions of positive solutions are determined. These results not only extend those by ZHANG and LING ,but also show the positive Dirichlet boundary value ε0 plays an important role in the ease of blow-up.

同期刊论文项目
正倒向和混合型非线性偏微分方程
期刊论文 27
同项目期刊论文
具非局部源项的抛物系统解的整体存在与爆破
Optimal Holder continuity for a class of degenerate elliptic problems with an application to subsoni
Blow-Up and Global Existence for a Degenerate Parabolic System with Nonlocal Sources
Simultaneous and non-simultaneous blow-up criteria of solutions for a diffusion system with weighted
Blow-up Problems for a Compressible Reactive Gas Model
Critical curves for a coupled system of fase diffusive Newtonian filtration equations
Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system
Fujita-type theorems for a class of nonlinear diffusion equations
Asymptotic behavior of solutions to a class of semilinear parabolic equations with boundary degenera
On a Degenerate Free Boundary Problem and Continuous Subsonic-Sonic Flows in a Convergent Nozzle
Approximate controllability of a class of semilinear degenerate systems with convection term
Uniqueness of positive solutions for an elliptic system arising in a diffusive predator-prey model
Existence of positive steady states for a predator-prey model with diffusion
Null controllability of a class of systems governed by coupled degenerate equations
Global existence and blow-up for a degenerate reaction-diffusion system with nonlocal sources
Some results on a singular parabolic equation in one dimension case
Uniqueness of positive solutions for an elliptic system
Existence of positive stationary solutions for a diffusive variable-territory prey-predator model
Positive stationary solutions for a diffusive variable-territory prey-predator model
非局部边界抛物型方程组解的整体存在与爆破性质
带非局部边界条件的半线性抛物系统的一致爆破模式
非局部边界条件的退化抛物方程组解的爆破和整体存在性
BLOW-UP AND BLOW-UP RATE FOR A COUPLED SEMILINEAR PARABOLIC SYSTEM WITH NONLOCAL BOUNDARIES
期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4139