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A degenerate parabolic system with localized sources and nonlocal boundary condition
  • ISSN号：1673-3452
  • 期刊名称：Frontiers of Mathematics in China
  • 时间：2012.2.2
  • 页码：97-116
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]西华师范大学数学与信息学院,南充637002, [2]长江师范学院数学与计算机学院,涪陵408100, [3]重庆大学数学与统计学院,重庆400044
  • 相关基金：国家自然科学基金资助项目（11071266）;重庆市自然科学基金资助项目（2010BB9218）
  • 相关项目：非线性发展方程解的性质和动力学行为的一些问题
作者： Mi, Yongsheng|Mu, Chunlai|
关键词： 整体存在指数, Fujita临界指数, 爆破, critical global existence curve, critical Fujita curve, blow-up
中文摘要：

研究一类具有非线性边界流的双重退化抛物方程组解的整体存在与爆破，通过构造自相似的上下解，得到了整体存在曲线．借助一些新的结果，获得了Pujita临界指数．其中一个有趣的现象是：整体存在曲线和Pujita临界曲线分别是由一个矩阵和线性方程组来决定．

英文摘要：

The paper deals with the critical curve for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar super-solution and sub-solution, we obtain the critical global existence curve. And the critical curve of Fujita type is conjectured with the aid of some new results. An interesting feature of our results is that the critical global existence curve and the critical Fujita curve are determined by a matrix and by the solution of a linear algebraic system, respectively.

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非线性发展方程解的性质和动力学行为的一些问题
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期刊信息
  • 《中国数学前沿：英文版》
  • 主管单位:中华人民共和国教育部
  • 主办单位:高等教育出版社
  • 主编：张恭庆
  • 地址：北京市朝阳区惠新东街4号富盛大厦15层
  • 邮编：100029
  • 邮箱：
  • 电话：010-58556485
  • 国际标准刊号：ISSN：1673-3452
  • 国内统一刊号：ISSN：11-5739/O1
  • 邮发代号:80-964
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,美国科学引文索引（扩展库）
  • 被引量:10