Applied Analysis of the Navier-Stokes Equations

Applied Analysis of the Navier-Stokes Equations

By (author) Charles R. Doering , By (author) J. D. Gibbon , Series edited by Mark J. Ablowitz , Series edited by S. H. Davis , Series edited by E. J. Hinch , Series edited by A. Iserles , Series edited by J. Ockendon , Series edited by P. J. Olver


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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.

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  • Paperback | 232 pages
  • 152 x 226 x 16mm | 381.02g
  • 01 Jun 1995
  • Cambridge
  • English
  • 23 b/w illus. 50 exercises
  • 052144568X
  • 9780521445689
  • 1,187,074

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'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, 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, 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, Meteorology and Atmospheric Physics

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