The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematical Fluid Mechanics
Release date:	September 2019
First published:	2019
Authors:	Wojciech S. Ozanski
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	138
Edition:	1st ed. 2019
ISBN-13:	978-3-03-026660-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics Promotions
LSN:	3-03-026660-5
Barcode:	9783030266608

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