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  1. Home
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  3. Applied Analysis of the Navier-Stokes Equations
  • Cited by 263
Publisher:
Cambridge University Press
Online publication date:
February 2010
Print publication year:
1995
Online ISBN:
9780511608803
DOI:
https://doi.org/10.1017/CBO9780511608803
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Real and Complex Analysis, Fluid Dynamics and Solid Mechanics
Series:
Cambridge Texts in Applied Mathematics (12)
Information

Book description

The Navier–Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier–Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion. Intended for graduate students and researchers in applied mathematics and theoretical physics, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses.

Reviews

‘The book is written for anyone who strives to understand the inherent difficulties of the nonlinear Navier–Strokes equations … Hopefully, the book will see many editions.’

P. Kahlig Source: Meteorology and Atmospheric Physics

‘ … the authors have done a thoughtful job of expounding ideas that are not close to the hearts of many mathematicians yet are capable of providing new basic and computational understandings.’

J. R. Ockendon Source: Journal of Fluid Mechanics

‘The clear structuring of the scientific content is to be appreciated … The exercises at the end of each chapter are well selected … Hopefully the book will see many editions.’

P. Kahlig Source: Meteorology and Atmospheric Physics

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