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粘性系数依赖于密度的Korteweg型不可压流体的强解问题
  • 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：O175.29[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,厦门361005
  • 相关基金：国家自然科学基金资助项目（10531020） 厦门大学985信息创新工程（2004-2007）和厦门大学新世纪优秀人才资助计划资助项目 致谢 作者对审稿人表示衷心感谢.
  • 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|王焰金|
关键词： Korteweg模型, 强解, Navier—Stokes方程组, Korteweg model, strong solutions, Navier-Stokes equations
中文摘要：

研究一类Korteweg型不可压流体模型的强解问题．针对粘性系数依赖于密度的情形，当初始值满足兼容性条件（9）时，证明了强解的局部存在性和唯一性．我们在这指出，本文允许初始真空存在．

英文摘要：

We study the strong solutions for the incompressible fluid models of Ko- rteweg type in Ω∪→ R^3. We focus on the case whese the viscosity coefficient depends on the density and prove the existence and uniqueness of local strong solutions provided the initial data satisfy a compatibility condition （see （9））. We point out here that in this paper we allow the initial vacuum to exist.

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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