The partial regularity theory of Caffarelli, Kohn, and Nirenberg and its sharpness. (2019)

• Record Type: Book
• Further Information: Note: Wojciecj S. Ożański.
• Other Names: Ożański, Wojciech S
• Contents: Intro; Contents; 1 Introduction; 2 The Caffarelli-Kohn-Nirenberg Theorem; 2.1 Preliminaries; 2.1.1 Scale Invariance; 2.1.2 Interpolation Inequality; 2.1.3 The Pressure Estimates; 2.2 Partial Regularity I; 2.3 Partial Regularity II; 2.4 Bounds on the Dimension of the Singular Set; 2.5 The Pressure Estimates; 3 Weak Solution of the Navier-Stokes Inequality with a Point Blow-Up; 3.1 Sketch of the Proof of Theorem 3.1; 3.1.1 Remarks; 3.2 Preliminaries; 3.2.1 The Rotation R; 3.2.2 The Pressure Function; 3.2.3 The Functions u[v, f], p[v, f]; 3.2.4 A Structure on UP; 3.2.5 A Recipe for a Structure 4.1 Constructing a Cantor Set4.2 Sketch of the Proof Theorem 4.1; 4.3 Proof of Proposition 4.3; 4.4 The New Oscillatory Processes; 4.5 The New Geometric Arrangement; 4.6 Blow-Up on a Cantor Set with "Almost Euler Equality'' ... ; Appendix References; ; Index
• Publisher Details: Cham : Birkhauser
• Publication Date: 2019
• Extent: 1 online resource (142 pages)
• Subjects: 518/.64; Navier-Stokes equations; Navier-Stokes equations; Electronic books
• Languages: English
• ISBNs: 9783030266615; 3030266613
• Related ISBNs: 9783030266608
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.