On stability of Leray's stationary solutions of the Navier–Stokes system in exterior domains

• Koba Hajime

  Graduate School of Engineering Science, Osaka University

抄録

This paper studies the stability of a stationary solution of the Navier–Stokes system in 3-D exterior domains. The stationary solution is called a Leray's stationary solution if the Dirichlet integral is finite. We apply an energy inequality and maximal L^p-in-time regularity for Hilbert space-valued functions to derive the decay rate with respect to time of energy solutions to a perturbed Navier–Stokes system governing a Leray's stationary solution.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 69 (1), 373-396, 2017

  一般社団法人 日本数学会

キーワード

• asymptotic stability
• decay property
• maximal <i>L</i>^<i>p</i> regularity

詳細情報

• CRID: 1390001205115578112
• NII論文ID: 130005310469
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06910373
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 027859090
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I027859090
• 本文言語コード: en
• データソース種別:
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