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关于海洋动力学中二维的大尺度原始方程组（Ⅱ）
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]北京应用物理与计算数学研究所,北京100088, [2]中国工程物理研究院研究生部,北京100080
  • 相关基金：国家自然科学基金（重点）资助项目（90511009）
作者： 黄代文[1,2], 郭柏灵[1]
关键词： 海洋的原始方程组, 整体强解, 正则性, 指数衰减, primitive equations of the ocean, global strongsolution, regularity, exponential decay
中文摘要：

考虑地球物理学中大尺度海洋运动的二维原始方程组的初边值问题．这里海底的深度是正的，但不一定为常数．应用Faedo-Galerkin方法和各向异性不等式，得到上述初边值问题的整体弱强解和整体强解的存在、唯一性．并且通过研究解的渐近行为，证明了能量随时问是指数衰减的。

英文摘要：

The initial boundary value problem for the two-dimensional primitive equations of largescale oceanic motion in geophysics is considered sequetially. Here the depth of the ocean is positive but not always a constant. By Faedo-Galerkin method and anisotropic inequalities, the existence, uniqueness of the global weakly strong solution and global strong solution for the probem were obtained.Moreover, by study the asymptotic behavior of solutions for the ablve problem, that the energy is exponential decay in lime was proved.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,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:8965