Charles R. Doering, J. D. Gibbon, "Applied Analysis of the Navier-Stokes Equations" Cambridge University Press | 1995 | ISBN: 052144568X | 232 pages | PDF | 1,6 MB
The Navier-Stokes equations are a set of nonlinear partial differential
equations that describe the fundamental dynamics 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. The goal of the book is
to present a mathematically rigorous investigation of the Navier-Stokes
equations that is accessible to a broader audience than just the
subfields of mathematics to which it has traditionally been restricted.
Therefore, results and techniques from nonlinear functional analysis
are introduced as needed with an eye toward communicating the essential
ideas behind the rigorous analyses. This book is appropriate for
graduate students in many areas of mathematics, physics, and
engineering.
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