
Lecture Notes On Regularity Theory For The Navier-stokes Equations
Gregory Seregin(Author)
World Scientific Publishing Co Pte Ltd
Published on 31. December 2025
Book
Hardback
332 pages
978-981-98-2369-7 (ISBN)
Description
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.
More details
Edition
Second Edition
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 22 mm
Weight
633 gr
ISBN-13
978-981-98-2369-7 (9789819823697)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Author
Oxford University, Uk & St. Petersburg Department Of Steklov Mathematical Institute, Ras, Russia