8
0
0
0
0
The partial regularity theory of Caffarelli, Kohn, and Nirenberg and its sharpness
- 作者： Ozanski, Wojciech S., author.
- 其他作者：
- 其他題名：
- Advances in mathematical fluid mechanics.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Advances in mathematical fluid mechanics
- 主題： Navier-Stokes equations. , Partial Differential Equations. , Mathematical Applications in the Physical Sciences. , Fluid- and Aerodynamics.
- ISBN： 9783030266615 (electronic bk.) 、 9783030266608 (paper)
-
FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 1 Introduction -- 2 The Caffarelli-Kohn-Nirenberg theorem -- 3 Point blow-up -- 4. Blow-up on a Cantor set.
- 摘要註: 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.
-
讀者標籤：
- 系統號： 005463526 | 機讀編目格式
館藏資訊
