A computer-assisted instability proof for the Orr-Sommerfeld problem with Poiseuille flow

Yoshitaka Watanabe, Michael Plum, Mitsuhiro T. Nakao

研究成果: ジャーナルへの寄稿記事

13 引用 (Scopus)

抄録

This paper presents a computer-assisted proof of solutions of the Orr-Sommerfeld equation describing hydrodynamic stability of Poiseuille flow. A numerical verification method for computing eigenpair enclosures for this non-selfadjoint eigenvalue problem is described. Some verification results confirm the effectiveness of the method. This constitutes the first strict mathematical instability proof for the Poiseuille flow.

元の言語英語
ページ(範囲)5-18
ページ数14
ジャーナルZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
89
発行部数1
DOI
出版物ステータス出版済み - 1 1 2008

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Poiseuille Flow
Orr-Sommerfeld Equation
Computer-assisted Proof
Hydrodynamic Stability
Numerical Verification
Enclosure
Enclosures
Eigenvalue Problem
Hydrodynamics
Computing

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Applied Mathematics

これを引用

A computer-assisted instability proof for the Orr-Sommerfeld problem with Poiseuille flow. / Watanabe, Yoshitaka; Plum, Michael; Nakao, Mitsuhiro T.

:: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 巻 89, 番号 1, 01.01.2008, p. 5-18.

研究成果: ジャーナルへの寄稿記事

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