On stability of steady circular flows in a two-dimensional exterior disk

• Maekawa Yasunori

抄録

We study the stability of some exact stationary solutions to the two-dimensional Navier-Stokes equations in an exterior domain to the unit disk. These stationary solutions are known as a simple model of the flow around a rotating obstacle, while their stability has been open due to the difficulty arising from their spatial decay in a scale-critical order. In this paper we affirmatively settle this problem for small solutions. That is, we will show that if these exact solutions are small enough then they are asymptotically stable with respect to small L2 perturbations.

収録刊行物

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 1075 1-75, 2015-08-27

  Department of Mathematics, Hokkaido University

キーワード

• Navier-Stokes equations
• two-dimensional exterior flows
• scale-criticality
• stability of stationary flows
• flow around a rotating obstacle

詳細情報

• CRID: 1390572174748897536
• NII論文ID: 120006459764
• DOI: 10.14943/84219
• HANDLE: 2115/69879
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可