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初始值具有小能量的高维H系统热流
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：0
  • 页码：363-363
  • 语言：中文
  • 分类：O175.28[理学—数学;理学—基础数学]
  • 作者机构：[1]复旦大学数学科学学院,上海200433
  • 相关基金：国家科技部973项目（2006CB805902）国家自然科学基金资助项目（10531020）;教育部博士点基金资助项目（20050246001）
  • 相关项目：流体力学中偏微分方程的某些非经典理论与方法
作者： 谭忠|黄涛|
关键词： 基本解, Tricomi方程, 特征线法, fundamental solution, Tricomi equation, characteristic curves
中文摘要：

考虑含三个自变量的Tricomi方程Tu=y（ux1x1＋ux2x2）＋uyy=0 （I）奇点为（a，b，0）的基本解．相对于两维的Tricomi方程，由于其奇性的增强，用通常的分布论计算基本解时，得到的积分发散，以致无法用该方法得到基本解，此时有必要引入散度积分主部来定义分布论中的基本解．我们利用特征线法在Cauchy主值意义下求得其基本解．

英文摘要：

We give the fundamental solution of the Tricomi operator Tu=y（ux1x1＋ux2x2）＋uyy=0 （I It has stronger singularity than Tu = yuxx ＋ Uyy =. 0. We indicate that it is necessary to introduce the principal part of Cauchy integral to define the fundamental solution in the theory of distribution.

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流体力学中偏微分方程的某些非经典理论与方法
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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 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,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:9981