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可压缩Navier—Stokes方程组解的全局存在性和渐近性注记
  • ISSN号：1003-4978
  • 期刊名称：《河南大学学报：自然科学版》
  • 时间：0
  • 分类：O175.28[理学—数学;理学—基础数学]
  • 作者机构：[1]东华大学应用数学系,上海200051
  • 相关基金：The Nation Natural Science Foundation of China（10571024）
作者： 于晓娜[1], 秦玉明[1]
关键词： 全局存在性, 渐近性, 一致先验估计, global existence, asymptotic behavior, a uniform priori estimates
中文摘要：

讨论在有非自治外力和热源的情况下，一般粘性热传导可压缩气体在有界区域上的一维运动，研究了可压的Navier-Stokes气体方程组解的全局存在性和渐近性．文中利用估计式1＋sup0≤s≤t‖θ（t）‖L^∞及渐近性引理来证得这些结果．

英文摘要：

In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in H^2 to the initial boundary value problem of the compressible Navier-Stokes equations of one-dimensional motion of a viscous heat conducting gas in a bounded region with a non-autonomous external force and a heat source. The expression 1 ＋sup0≤s≤t‖θ（t）‖L^∞ and the asymptotic lemma are used to prove these results.

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期刊信息
  • 《河南大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:河南省教育厅
  • 主办单位:河南大学
  • 主编：乔家君
  • 地址：河南省开封市明伦街85号
  • 邮编：475001
  • 邮箱：xbzrb@henu.edu.cn
  • 电话：0378-2860394
  • 国际标准刊号：ISSN：1003-4978
  • 国内统一刊号：ISSN：41-1100/N
  • 邮发代号:36-27
  • 获奖情况:
  • 河南省优秀科技期刊一等奖,河南省高校优秀自然科学学报,全国学术期刊规范执行优秀奖
  • 国内外数据库收录:
  • 美国化学文摘（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）
  • 被引量:5635