The Resource Initial-boundary value problems and the Navier-Stokes equations, Heinz-Otto Kreiss, Jens Lorenz, (electronic resource)

Initial-boundary value problems and the Navier-Stokes equations, Heinz-Otto Kreiss, Jens Lorenz, (electronic resource)

Label
Initial-boundary value problems and the Navier-Stokes equations
Title
Initial-boundary value problems and the Navier-Stokes equations
Statement of responsibility
Heinz-Otto Kreiss, Jens Lorenz
Creator
Contributor
Subject
Language
eng
Summary
Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNvSL
http://library.link/vocab/creatorName
Kreiss, H.
Dewey number
515/.35
Illustrations
illustrations
Index
index present
LC call number
QA378
LC item number
.K74 2004eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1949-
http://library.link/vocab/relatedWorkOrContributorName
  • Lorenz, Jens
  • Society for Industrial and Applied Mathematics
Series statement
Classics in applied mathematics
Series volume
47
http://library.link/vocab/subjectName
  • Initial value problems
  • Boundary value problems
  • Navier-Stokes equations
Target audience
  • adult
  • specialized
Label
Initial-boundary value problems and the Navier-Stokes equations, Heinz-Otto Kreiss, Jens Lorenz, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl47
Instantiates
Publication
Note
Originally published: Boston : Academic Press, c1989
Bibliography note
Includes bibliographical references (p. 393-398) and index
Color
black and white
Contents
The Navier-Stokes equations -- Constant-coefficient Cauchy problems -- Linear variable-coefficient Cauchy problems in 1D -- A nonlinear example: Burgers' equations -- Nonlinear systems in one space dimension -- The Cauchy problem for systems in several dimensions -- Initial-boundary value problems in one space dimension -- Initial-boundary value problems in several space dimensions -- The incompressible Navier-Stokes equations: the spatially periodic case -- The incompressible Navier-Stokes equations under initial and boundary conditions -- Appendix 1: Notations and results from linear algebra -- Appendix 2: Interpolation -- Appendix 3: Sobolev inequalities -- Appendix 4: Application of the Arzela-Ascoil theorem
Dimensions
unknown
Extent
1 electronic text (xvii, 402 p. : ill.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898719130
Isbn Type
(electronic bk.)
Other control number
CL47
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • 3844970-01okla_normanlaw
  • (SIRSI)3844970
  • (Sirsi) i9780898719130
  • (CaBNvSL)gtp00544257
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader
Label
Initial-boundary value problems and the Navier-Stokes equations, Heinz-Otto Kreiss, Jens Lorenz, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl47
Publication
Note
Originally published: Boston : Academic Press, c1989
Bibliography note
Includes bibliographical references (p. 393-398) and index
Color
black and white
Contents
The Navier-Stokes equations -- Constant-coefficient Cauchy problems -- Linear variable-coefficient Cauchy problems in 1D -- A nonlinear example: Burgers' equations -- Nonlinear systems in one space dimension -- The Cauchy problem for systems in several dimensions -- Initial-boundary value problems in one space dimension -- Initial-boundary value problems in several space dimensions -- The incompressible Navier-Stokes equations: the spatially periodic case -- The incompressible Navier-Stokes equations under initial and boundary conditions -- Appendix 1: Notations and results from linear algebra -- Appendix 2: Interpolation -- Appendix 3: Sobolev inequalities -- Appendix 4: Application of the Arzela-Ascoil theorem
Dimensions
unknown
Extent
1 electronic text (xvii, 402 p. : ill.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898719130
Isbn Type
(electronic bk.)
Other control number
CL47
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • 3844970-01okla_normanlaw
  • (SIRSI)3844970
  • (Sirsi) i9780898719130
  • (CaBNvSL)gtp00544257
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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