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一类带内部吸收项的反应扩散方程解的渐近行为
  • ISSN号：1000-2367
  • 期刊名称：《河南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O182[理学—数学;理学—基础数学]
  • 作者机构：[1]河南师范大学数学与信息科学学院,河南新乡453007
  • 相关基金：国家自然科学基金（10871060）
作者： 杨会生[1]
关键词： 反应扩散方程, 渐近行为, 吸收项, 临界指数, 爆破率, 爆破集, reaction-diffusion equation, asymptotic behavior, inner absorption, critical exponent, blow-up rate, blow-up set
中文摘要：

研究了一类带有内部吸收项以及边界条件为指数形式的反应扩散方程解的性质，得到了爆破集，爆破率以及临近爆破时间的爆破行为．其中爆破率和爆破集是不依赖于吸收项的．

英文摘要：

This paper deals with a reaction-diffusion equation with inner absorption and boundary flux of exponential forms. The blow-up rate is determined with the blow-up set, and the blow-up profile near the blow-up time is obtained. It is served that the blow-uprate and profile are independent of the nonlinear absorption term.

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一类椭圆及抛物型方程（组）解的结构、奇性和渐近行为的研究
期刊论文 26
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期刊信息
  • 《河南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:河南师范大学
  • 主办单位:河南师范大学
  • 主编：王记录
  • 地址：河南省新乡市建设东路46号
  • 邮编：453007
  • 邮箱：
  • 电话：0373-3329394 3329272
  • 国际标准刊号：ISSN：1000-2367
  • 国内统一刊号：ISSN：41-1109/N
  • 邮发代号:36-55
  • 获奖情况:
  • 国家新闻出版局、国家科委优秀学报奖,河南省科委、河南省教委优秀学报
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,英国农业与生物科学研究中心文摘,德国数学文摘,英国动物学记录,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）
  • 被引量:7535