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具非局部源项的抛物系统解的整体存在与爆破
  • ISSN号：1001-9847
  • 期刊名称：应用数学
  • 时间：2012.10
  • 页码：746-754
  • 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, [2]华中科技大学能源与动力工程学院,湖北武汉430074
  • 相关基金：Foundation item： Supported by the NNSF of China（ 11071100）, and the NSF of Guangxi（201 tjjA10044）
  • 相关项目：广西香蕉叶部病害防治策略的数学研究
作者： 凌征球，冯和英，庞国萍|
关键词： 非局部抛物系统, 整体存在, 爆破, 临界指数, Nonlocal parabolic system, Global existence , Blow up , Critical exponent
中文摘要：

考虑一个具有非局部源项的抛物系统非负解的整体存在与爆破问题，通过使用上下解技术，建立了系统的临界指数，而且，相关的分类是最优与最完全的．

英文摘要：

Abstract：This paper investigates the blow-up and global existence of nonnegative solutions to the parabolic system with nonlocal sources ut=△u＋｜｜uv｜｜ap,vt=△v｜｜uv｜｜βq,（x,t）∈Ω×（0,T）,subject to null Dirichlet boundary conditions. By using the super- and sub-solution techniques, the critical exponent of the system is determined. Furthermore, the related classifications for the param- eters in the model are optimal and complete.

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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