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  • 标题:Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in R 3 $\mathbb{R}^{3}$
  • 本地全文:下载
  • 作者:Jincheng Shi ; Yan Liu
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13661-021-01525-6
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The structural stability for the Forchheimer fluid interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$ was studied. We assumed that the nonlinear fluid was governed by the Forchheimer equations in $\Omega _{1}$ , while in $\Omega _{2}$ , we supposed that the flow satisfies the Darcy equations. With the aid of some useful a priori bounds, we were able to demonstrate the continuous dependence results for the Forchheimer coefficient λ.
  • 关键词:35B40 ; 35Q30 ; 76D05
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