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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness ([EBook]) / by Wojciech S. Ożański.
Author	Ożański, Wojciech S.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	Cham : Springer International Publishing , 2019.
Physical Details	VI, 138 pages: 24 illus., 1 illus. in color. : online resource.
Series	Lecture Notes in Mathematical Fluid Mechanics
ISBN	9783030266615
Summary Note	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.:
Contents note	1 Introduction -- 2 The Caffarelli-Kohn-Nirenberg theorem -- 3 Point blow-up -- 4. Blow-up on a Cantor set.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-26661-5
Links to Related Works	Subject References: Fluid- and Aerodynamics . Fluids . Mathematical Applications in the Physical Sciences . Mathematical Physics . Partial differential equations . Authors: author . Ożański, Wojciech S. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematical Fluid Mechanics . Classification: 515.353 . 515.353 (DDC 23) .

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The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness

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