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Navier-Stokes-Poisson方程的弱解关于区域的连续依赖性
  • ISSN号：0438-0479
  • 期刊名称：《厦门大学学报：自然科学版》
  • 时间：0
  • 分类：O175[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,福建厦门361005
  • 相关基金：国家自然科学基金项目（10976026）
作者： 郭荣聪[1]
关键词： Navier-Stokes-Poisson方程, 区域依赖, 有限能量弱解, Navier-Stokes-Poisson equation, domain dependence, bounded energy weak solution
中文摘要：

研究了可压等熵Navier-Stokes-Poisson方程的弱解与空间区域的关系．证明了有界区域Ωn（∈R^3）上的弱解收敛到有界区域Ω上的弱解．利用空间区域的性质，可以得到一般非光滑有界的非空区域上弱解的存在性．

英文摘要：

We consider the Navier-Stokes-Poisson system of barotropic compressible flow. We prove that solutions to this problemdefined on a sequence of spatial domainsΩn（∈R^3）converge to a solution of the same problem on a domain Ω,where Ω is the limit of Ωn, in some sense. And then we know the equations can be solved in a more general domain.

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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575