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Paperback Applied Analysis of the Navier-Stokes Equations Book

ISBN: 052144568X

ISBN13: 9780521445689

Applied Analysis of the Navier-Stokes Equations

(Book #12 in the Cambridge Texts in Applied Mathematics Series)

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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