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

• Watanabe Yoshitaka

  Research Institute for Information Technology, Kyushu University

• Nagatou Kaori

  Faculty of Mathematics, Kyushu University and PRESTO, Japan Science and Technology Agency

• Plum Michael

  Institut für Analysis, Universität Karlsruhe (TH)

• Nakao Mitsuhiro T.

  Sasebo National College of Technology

抄録

This short note describes a computer-assisted stability proof for the Orr-Sommerfeld problem with Poiseuille flow. It is an application of a numerical verification technique for second-order elliptic boundary value problems introduced by a part of the authors.

収録刊行物

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 2 (1), 123-127, 2011

  一般社団法人 電子情報通信学会

キーワード

• Orr-Sommerfeld equation
• stability proof
• eigenvalue excluding method

詳細情報

• CRID: 1390282680322925056
• NII論文ID: 130000903447
• DOI: 10.1587/nolta.2.123
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/2/1/2_1_123/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可