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文章基本信息

  • 标题:On an electrorheological fluid equation with orientated convection term
  • 本地全文:下载
  • 作者:Huashui Zhan
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-16
  • DOI:10.1186/s13661-019-1241-x
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A kind of electrorheological fluid equations with orientated convection terms is considered. If the diffusion coefficient $a(x,t)\in C^{1}(\overline{Q_{T}})$ is degenerate on the boundary ∂Ω, not only the uniqueness of weak solution is proved, but also the stability of the solutions can be proved without any boundary condition, provided that there are some restrictions on the diffusion coefficient $a(x,t)$ and the convective coefficient $\vec{b}(x,t)$ . Moreover, the large time behavior of weak solution is studied.
  • 关键词:The electrorheological fluid equation; Orientated convection term; Partial boundary value condition; Stability; Large time behavior
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