Description: Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and Its Sharpness, Paperback by Ozanski, Wojciech, ISBN 3030266605, ISBN-13 9783030266608, Brand New, Free shipping in the US 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 th 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.
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Book Title: Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and
Number of Pages: VI, 138 Pages
Language: English
Publication Name: Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and Its Sharpness
Publisher: Springer International Publishing A&G
Publication Year: 2019
Subject: Differential Equations / General, Physics / Mathematical & Computational, Mechanics / Thermodynamics
Type: Textbook
Item Weight: 16 Oz
Subject Area: Mathematics, Science
Author: Wojciech S. OżAńSki
Item Length: 9.3 in
Item Width: 6.1 in
Series: Advances in Mathematical Fluid Mechanics Ser.
Format: Trade Paperback
