Navier-Stokes equations and nonlinear functional analysis

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 num...

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Bibliographic Details
Main Author: Temam, Roger.
Corporate Author: Society for Industrial and Applied Mathematics.
Format: eBook
Language: English
Published: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1995.
Edition: 2nd edition
Series: CBMS-NSF regional conference series in applied mathematics ; 66.
Subjects:
Fluid dynamics.
Navier-Stokes equations > Numerical solutions.
Nonlinear functional analysis.
elektronické knihy
electronic books
ISBN: 9781611970050
1611970059
9781680157895
1680157892
0898713404
9780898713404
Physical Description: 1 online resource (xiv, 141 pages) : illustrations.

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Table of contents

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020 |a 9781680157895  |q (electronic bk.) 
020 |a 1680157892  |q (electronic bk.) 
020 |z 0898713404  |q (pbk.) 
020 |z 9780898713404  |q (pbk.) 
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035 |a (OCoLC)718676273  |z (OCoLC)228147748  |z (OCoLC)228147749  |z (OCoLC)961851898  |z (OCoLC)988708555  |z (OCoLC)999512153  |z (OCoLC)1057952830  |z (OCoLC)1066686687  |z (OCoLC)1170688497  |z (OCoLC)1173008079  |z (OCoLC)1340067983 
100 1 |a Temam, Roger. 
245 1 0 |a Navier-Stokes equations and nonlinear functional analysis /  |c Roger Temam. 
250 |a 2nd edition 
264 1 |a Philadelphia, Pa. :  |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),  |c 1995. 
300 |a 1 online resource (xiv, 141 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a CBMS-NSF regional conference series in applied mathematics ;  |v 66 
504 |a Includes bibliographical references (pages 131-141). 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 3 |a 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. 
505 0 |a Preface to the Second Edition -- Introduction. 
505 8 |a Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The Navier-Stokes equations -- Chapter 2: Functional setting of the equations -- Chapter 3: Existence and uniqueness theorems (mostly classical results) -- Chapter 4: New a priori estimates and applications -- Chapter 5: Regularity and fractional dimension -- Chapter 6: Successive regularity and compatibility conditions at t=0 (bounded case) -- Chapter 7: Analyticity in time -- Chapter 8: Lagrangian representation of the flow. 
505 8 |a Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The Couette-Taylor experiment -- Chapter 10: Stationary solutions of the Navier-Stokes equations -- Chapter 11: The squeezing property -- Chapter 12: Hausdorff dimension of an attractor. 
505 8 |a Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation -- Chapter 14: Long time approximation of the Navier-Stokes equations -- Appendix: Inertial manifolds and Navier-Stokes equations -- Comments and bibliography -- Update for the Second Edition -- References. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Fluid dynamics. 
650 0 |a Navier-Stokes equations  |x Numerical solutions. 
650 0 |a Nonlinear functional analysis. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
710 2 |a Society for Industrial and Applied Mathematics. 
776 0 8 |i Print version:  |z 0898713404  |z 9780898713404  |w (DLC) 94043733 
830 0 |a CBMS-NSF regional conference series in applied mathematics ;  |v 66. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpNSENFAED/navier-stokes-equations?kpromoter=marc  |y Full text 

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