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等熵可压Navier—Stokes—Poisson方程局部强解适定性
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]厦门大学数学科学学院福建,厦门361005, [2]北京应用物理与计算数学所,北京100088
  • 相关基金：国家自然科学基金（10531020）、厦门大学新世纪优秀人才资助计划（NCETXMU）资助
作者： 尹俊平[1], 谭忠
关键词： 局部强解, Navier—Stokes—Poisson方程, 存在性, 唯一性, 稳定性., Local strong solutions, Navier-Stokes-Poisson equations, Existence, Uniqueness, Stability.
中文摘要：

该文得到了三维情形等熵可压Navier—Stokes-Poisson方程局部强解的存在性、唯一性及稳定性．重要的是，该文允许初始密度真空的存在．首先用推广形式的Gronwall不等式得到了强解的局部存在性，然后得到了较弱条件下的唯一性，在证明唯一性的同时得到了稳定性．

英文摘要：

In this paper, the authors prove the existence, uniqueness, stability of the local strong solutions for Navier- Stokes-Poisson equations in three dimensions. The important point is that they allow the initial vacuum： the initial density may vanish in a boundary and open subset. The local existence is gotten by the extended Gronwall＇s inequality, then the authors prove the uniqueness in weaker condition. Finally, from the proof of the uniquenss, the stability can be concluded naturally.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 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,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:5382