| 书目名称 | The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness | | 编辑 | Wojciech S. Ożański | | 视频video | | | 概述 | Provides a simple proof of the classical Caffarelli-Kohn-Nirenberg theorem with brevity and completeness.Promotes understanding of Scheffer’s constructions by providing streamlined proofs based on his | | 丛书名称 | Advances in Mathematical Fluid Mechanics | | 图书封面 |  | | 描述 | 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.. | | 出版日期 | Book 2019 | | 关键词 | Cafarelli-Kohn-Nirenberg partial regularity theorem; Caffarelli-Kohn-Nirenberg book; Caffarelli-Kohn-N | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-26661-5 | | isbn_softcover | 978-3-030-26660-8 | | isbn_ebook | 978-3-030-26661-5Series ISSN 2297-0320 Series E-ISSN 2297-0339 | | issn_series | 2297-0320 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 18:00:55
