Navier-Stokes equations and nonlinear functional analysis /

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Bibliographic Details
Author / Creator:Temam, Roger.
Edition:2nd ed.
Imprint:Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1995.
Description:1 online resource (xiv, 141 pages) : illustrations
Series:CBMS-NSF regional conference series in applied mathematics ; 66
CBMS-NSF regional conference series in applied mathematics ; 66.
Subject:Fluid dynamics.
Navier-Stokes equations -- Numerical solutions.
Nonlinear functional analysis.
Fluid dynamics.
Navier-Stokes equations -- Numerical solutions.
Nonlinear functional analysis.
Engineering & Applied Sciences.
Applied Mathematics.
Electronic book.
Electronic books.
Format: E-Resource Book
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Other authors / contributors:Society for Industrial and Applied Mathematics.
Notes:Includes bibliographical references (pages 131-141).
Summary:This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier-Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite-dimensional one called the inertial system. Although the theory of inertial manifolds for Navier-Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition.
Other form:Print version: 0898713404 9780898713404
Publisher's no.:CB66 SIAM