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Navier边界条件下湖方程的边界层问题
  • ISSN号：0583-1431
  • 期刊名称：Acta Mathematicae Applicatae Sinica-English Series
  • 时间：2012
  • 页码：929-946
  • 分类：O175.2[理学—数学;理学—基础数学] O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]北京工商大学理学院数学系,北京100048, [2]北京工业大学应用数理学院,北京100124, [3]首都师范大学数学科学学院,北京100048
  • 相关基金：国家自然科学基金资助项目（11171229）;北京市教委项目
  • 相关项目：有关不可压流粘性消失问题的研究
作者： 蔡晓静|酒全森|牛冬娟|
关键词： 粘性湖方程, Navier边界条件, 湖方程, 粘性消失极限, viscous lake equations, Navier boundary conditions, lake equations, van-ishing viscosity limit
中文摘要：

考虑光滑区域上二维粘性湖方程在Navier边界条件下的无粘极限问题,证明了具有Navier边界条件粘性湖方程的边界层在Sobolev空间中是非线性稳定的,验证了具有较弱强度的边界层的渐近展开的合理性.

英文摘要：

t We consider the inviscid limit of the two-dimensional viscous lake equations when the Navier slip conditions are prescribed on the impermeable boundaries of the general regular domains. Our results show that the boundary layer of the viscous lake equations with Navier boundary is always nonlinearly stable in some Sobolev spacesand we justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in asymptotic theory and a linear behavior.

同期刊论文项目
Navier-Stokes方程解的适定性和粘性消失问题
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有关不可压流粘性消失问题的研究
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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
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  • 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