Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness
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“This is a well written, and this makes it easy to read, mathematical text. … Essentially self-contained, the book can be used as a straightforward introduction to the topic of regularity of solutions of the Navier-Stokes equations.” (Florin Catrina, zbMATH 1441.35004, 2020)
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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. Les mer
Detaljer
- Forlag
- Springer Nature Switzerland AG
- Innbinding
- Paperback
- Språk
- Engelsk
- Sider
- 138
- ISBN
- 9783030266608
- Utgivelsesår
- 2019
- Format
- 24 x 16 cm
Anmeldelser
«
“This is a well written, and this makes it easy to read, mathematical text. … Essentially self-contained, the book can be used as a straightforward introduction to the topic of regularity of solutions of the Navier-Stokes equations.” (Florin Catrina, zbMATH 1441.35004, 2020)
»