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The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness / by Wojciech S. Ożański
(Lecture Notes in Mathematical Fluid Mechanics. ISSN:25101382)
版 | 1st ed. 2019. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2019 |
大きさ | VI, 138 p. 24 illus., 1 illus. in color : online resource |
著者標目 | *Ożański, Wojciech S author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Mathematical physics LCSH:Continuum mechanics FREE:Differential Equations FREE:Mathematical Physics FREE:Continuum Mechanics |
一般注記 | 1 Introduction -- 2 The Caffarelli-Kohn-Nirenberg theorem -- 3 Point blow-up -- 4. Blow-up on a Cantor set This monograph focuses on the partial regularity theorem, as developed by Caffarelli, Kohn, and Nirenberg (CKN), and offers a proof of the upper bound on the Hausdorff dimension of the singular set of weak solutions of the Navier-Stokes inequality, while also providing a clear and insightful presentation of Scheffer’s constructions showing their bound cannot be improved. A short, complete, and self-contained proof of CKN is presented in the second chapter, allowing the remainder of the book to be fully dedicated to a topic of central importance: the sharpness result of Scheffer. Chapters three and four contain a highly readable proof of this result, featuring new improvements as well. Researchers in mathematical fluid mechanics, as well as those working in partial differential equations more generally, will find this monograph invaluable HTTP:URL=https://doi.org/10.1007/978-3-030-26661-5 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783030266615 |
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EB00199085 |
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