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

• Κύριος συγγραφέας: Ożański, Wojciech S. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes in Mathematical Fluid Mechanics,
• Θέματα: Partial differential equations.; Mathematical physics.; Fluids.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Fluid- and Aerodynamics.

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 present...

Πίνακας περιεχομένων:

• 1 Introduction
• 2 The Caffarelli-Kohn-Nirenberg theorem
• 3 Point blow-up
• 4. Blow-up on a Cantor set.