The Resource NavierStokes equations and nonlinear functional analysis, Roger Temam
NavierStokes equations and nonlinear functional analysis, Roger Temam
Resource Information
The item NavierStokes equations and nonlinear functional analysis, Roger Temam represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 2 library branches.
Resource Information
The item NavierStokes equations and nonlinear functional analysis, Roger Temam represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 2 library branches.
 Summary
 This second edition, like the first, attempts to arrive as simply as possible at some central problems in the NavierStokes 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 NavierStokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for NavierStokes 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 NavierStokes 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, finitedimensional one called the inertial system. Although the theory of inertial manifolds for NavierStokes 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
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xiv, 141 pages)
 Contents

 Preface to the Second Edition  Introduction
 Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The NavierStokes 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
 Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The CouetteTaylor experiment  Chapter 10: Stationary solutions of the NavierStokes equations  Chapter 11: The squeezing property  Chapter 12: Hausdorff dimension of an attractor
 Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation  Chapter 14: Long time approximation of the NavierStokes equations  Appendix: Inertial manifolds and NavierStokes equations  Comments and bibliography  Update for the Second Edition  References
 Isbn
 9781680157895
 Label
 NavierStokes equations and nonlinear functional analysis
 Title
 NavierStokes equations and nonlinear functional analysis
 Statement of responsibility
 Roger Temam
 Subject

 Applied Mathematics
 Dynamical systems
 Electronic book
 Electronic books
 Engineering & Applied Sciences
 Fluid dynamics
 Fluid dynamics
 Inertial manifolds
 NavierStokes equations
 NavierStokes equations  Numerical solutions
 NavierStokes equations  Numerical solutions
 Nonlinear functional analysis
 Nonlinear functional analysis
 Turbulence
 Language
 eng
 Summary
 This second edition, like the first, attempts to arrive as simply as possible at some central problems in the NavierStokes 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 NavierStokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for NavierStokes 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 NavierStokes 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, finitedimensional one called the inertial system. Although the theory of inertial manifolds for NavierStokes 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
 Cataloging source
 CaBNvSL
 http://library.link/vocab/creatorName
 Temam, Roger
 Dewey number
 532/.051/01515353
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA911
 LC item number
 .T39 1995eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Society for Industrial and Applied Mathematics
 Series statement
 CBMSNSF regional conference series in applied mathematics
 Series volume
 66
 http://library.link/vocab/subjectName

 Fluid dynamics
 NavierStokes equations
 Nonlinear functional analysis
 Fluid dynamics
 NavierStokes equations
 Nonlinear functional analysis
 Engineering & Applied Sciences
 Applied Mathematics
 Target audience
 adult
 Label
 NavierStokes equations and nonlinear functional analysis, Roger Temam
 Bibliography note
 Includes bibliographical references (pages 131141)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 black and white
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Preface to the Second Edition  Introduction
 Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The NavierStokes 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
 Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The CouetteTaylor experiment  Chapter 10: Stationary solutions of the NavierStokes equations  Chapter 11: The squeezing property  Chapter 12: Hausdorff dimension of an attractor
 Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation  Chapter 14: Long time approximation of the NavierStokes equations  Appendix: Inertial manifolds and NavierStokes equations  Comments and bibliography  Update for the Second Edition  References
 Control code
 718676273
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xiv, 141 pages)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781680157895
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)718676273
 Label
 NavierStokes equations and nonlinear functional analysis, Roger Temam
 Bibliography note
 Includes bibliographical references (pages 131141)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 black and white
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Preface to the Second Edition  Introduction
 Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The NavierStokes 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
 Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The CouetteTaylor experiment  Chapter 10: Stationary solutions of the NavierStokes equations  Chapter 11: The squeezing property  Chapter 12: Hausdorff dimension of an attractor
 Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation  Chapter 14: Long time approximation of the NavierStokes equations  Appendix: Inertial manifolds and NavierStokes equations  Comments and bibliography  Update for the Second Edition  References
 Control code
 718676273
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xiv, 141 pages)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781680157895
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)718676273
Subject
 Applied Mathematics
 Dynamical systems
 Electronic book
 Electronic books
 Engineering & Applied Sciences
 Fluid dynamics
 Fluid dynamics
 Inertial manifolds
 NavierStokes equations
 NavierStokes equations  Numerical solutions
 NavierStokes equations  Numerical solutions
 Nonlinear functional analysis
 Nonlinear functional analysis
 Turbulence
Genre
Member of
 CBMSNSF regional conference series in applied mathematics, 66
 Knovel Mechanics & Mechanical Engineering
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