Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition

Naoya Kanbayashi, Hideo Kozono, Takahiro Okabe

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Consider stationary weak solutions of the Navier-Stokes equations in a bounded domain in R3 under the nonhomogeneous boundary condition. We give a new approach for the stability of the stationary flow in the L2-framework. Furthermore, we give some examples of stable solutions which may be large in L3(Ω) or W1,3/2(Ω).

本文言語English
ページ(範囲)378-392
ページ数15
ジャーナルJournal of Mathematical Analysis and Applications
409
1
DOI
出版ステータスPublished - 2014 1 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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