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一个模拟趋化现象的广义双曲-抛物系统的光滑解的全局分析
  • ISSN号：1000-8314
  • 期刊名称：数学年刊A辑(中文版)
  • 时间：0
  • 页码：27-38
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南理工学院数学学院,湖南岳阳414006, [2]厦门大学数学科学学院,福建厦门361005, [3]河南大学现代数学研究所,河南开封475004
  • 相关基金：国家自然科学基金（No.10976026,No.10871061）,湖南省教育厅基金（No.11C0628）和湖南理工学院基金（No.2011Y49）资助的项目.
  • 相关项目：Z-pinch内爆等离子体二维高温辐射磁流体动力学方程及其动力系统研究
作者： 张映辉|谭忠|赖柏顺|孙明保|
关键词： 全局分析, 双曲-抛物系统, 趋化, 凸熵, Global analysis, Hyperbolic-parabolic system, Chemotaxis,Convex entropy
中文摘要：

考虑一个模拟趋化现象的广义双曲-抛物系统的Cauchy问题，当动能函数为非线性函数且初始值具有小的L2能量但其日。能量可能任意大时，得到了全局光滑解的存在性和渐近行为．这些结果推广了以前的关于动能函数为线性函数或初始值具有小的H2能量情形下的相关结果，首次获得了关于全局光滑大解方面的结果．这些结果的证明基于构造一个新的非负凸熵和做精细的能量估计．

英文摘要：

The authors establish the existence and the asymptotic behavior of global smooth solutions to the Cauchy problem for a generalized hyperbolic-parabolic system modeling chemotaxis with the nonlinear kinetic function and smooth initial data which have small L2- norm energy, but possibly large H2-norm energy. results on smooth solutions for the kinetic function These results generalize previous related being linear or H2-norm of the initial data being sufficiently small, and are first obtained for global smooth solutions with arbitrarily large H2-norm. The proof is based on constructing a new nonnegative convex entropy and making delicate energy estimates.

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Z-pinch内爆等离子体二维高温辐射磁流体动力学方程及其动力系统研究
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:4264