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三维Boussinesq方程的正则性准则
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]北京工业大学应用数理学院,北京100124
  • 相关基金：Supported by National Natural Sciences Foundation of China（10771009）; Beijing Science Foundation（1082001）
作者： 李林锐[1], 王术[1]
关键词： BOUSSINESQ方程, 正则性解, 粘性流, Boussinesq equations, regularity solutions, viscous flow
中文摘要：

本文研究了三维Boussinesq方程弱解的正则性.利用精细的能量估计方法,得到了关于弱解正则性的一些充分条件,同时这些结果表明速度场比温度函数对于解的正则性起着更重要的作用.

英文摘要：

We consider the regularity of weak solutions for the 3-D Boussinesq equations.By using the delicate energy estimate method,we obtain some sufficient conditions for regularity of weak solutions to the Boussinesq equations.Moreover,our results demonstrate that the velocity field of the fluid plays a more dominant role than the scalar temperature function does on the regularity of solution to the Boussinesq equations.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 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:3910