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Lecture Notes On Regularity Theory For The Navier-stokes Equations (second Edition) - Rilegato

Seregin, Gregory

 
9789819823697: Lecture Notes On Regularity Theory For The Navier-stokes Equations (second Edition)
Rilegato
ISBN 10: 9819823692 ISBN 13: 9789819823697
Casa editrice: WSPC, 2025

Sinossi

Review of the First Edition: "The presentation of the material is self-contained and clear … Can be strongly recommended to everybody who is interested in mathematical fluid mechanics or in PDEs." Mathematical Reviews Clippings This book is based on the lecture notes for the TCC (Taught Course Centre for graduates) course given by the author in Trinity Terms of 2009–2011 at the Mathematical Institute of Oxford University. It provides an accessible yet rigorous introduction to the mathematical theory of the Navier–Stokes equations, including both classical PDE theory and modern regularity results developed in the style of the St Petersburg school. The book covers fundamental concepts from basic theory to state-of-the-art results, with a focus on the interplay between regularity and well-posedness — a central theme in the study of the Navier–Stokes equations and one of the Millennium Prize Problems. The second edition introduces major new material that extends the scope of the original text. Chapter 8 explores the regularity of axially symmetric solutions and examines Type I and Type II blowup in suitable weak solutions, offering insights into possible singularity formation and the broader global regularity problem. In addition, Appendix C provides detailed proofs of key results, enhancing the mathematical rigor and connecting the material to ongoing research and open problems in fluid dynamics. Together, the comprehensive coverage of classical and modern theory, enriched with these new contributions, makes this edition a valuable resource for graduate students, researchers, and anyone interested in the analytical foundations of fluid dynamics.

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Editore
WSPC
Data di pubblicazione
2025
Lingua
Inglese
ISBN 10 
9819823692
ISBN 13 
9789819823697
Rilegatura
Copertina rigida
Numero edizione
2
Numero di pagine
332
Contatto del produttore
World Scientific Publishing
https://www.worldscientific.com/

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