The Resource The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource)

The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource)

Label
The Cauchy problem in kinetic theory
Title
The Cauchy problem in kinetic theory
Statement of responsibility
Robert T. Glassey
Creator
Contributor
Subject
Language
eng
Summary
This volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
http://library.link/vocab/creatorDate
1946-
http://library.link/vocab/creatorName
Glassey, Robert
Dewey number
530.1/36/0151535
Illustrations
illustrations
Index
index present
LC call number
QC174.9
LC item number
.G47 1996eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society for Industrial and Applied Mathematics
http://library.link/vocab/subjectName
  • Kinetic theory of matter
  • Cauchy problem
  • Transport theory
  • Mathematical physics
Target audience
adult
Label
The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot52
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Preface -- Chapter 1. Properties of the collision operator -- Chapter 2. The Boltzmann equation near the vacuum -- Chapter 3. The Boltzmann equation near the equilibrium -- Chapter 4. The Vlasov--Poisson system -- Chapter 5. The Vlasov--Maxwell system -- Chapter 6. Dilute collisionless plasmas -- Chapter 7. Velocity averages. weak solutions to the Vlasov--Maxwell system -- Chapter 8. Convergence of a particle method for the Vlasov--Maxwell system -- Index
Dimensions
unknown
Extent
1 electronic text (xii, 241 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611971477
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
OT52
Reformatting quality
access
Specific material designation
remote
System control number
  • 3862517-01okla_normanlaw
  • (SIRSI)3862517
  • (Sirsi) i9781611971477
  • (CaBNVSL)gtp00547388
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader
Label
The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot52
Publication
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Preface -- Chapter 1. Properties of the collision operator -- Chapter 2. The Boltzmann equation near the vacuum -- Chapter 3. The Boltzmann equation near the equilibrium -- Chapter 4. The Vlasov--Poisson system -- Chapter 5. The Vlasov--Maxwell system -- Chapter 6. Dilute collisionless plasmas -- Chapter 7. Velocity averages. weak solutions to the Vlasov--Maxwell system -- Chapter 8. Convergence of a particle method for the Vlasov--Maxwell system -- Index
Dimensions
unknown
Extent
1 electronic text (xii, 241 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611971477
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
OT52
Reformatting quality
access
Specific material designation
remote
System control number
  • 3862517-01okla_normanlaw
  • (SIRSI)3862517
  • (Sirsi) i9781611971477
  • (CaBNVSL)gtp00547388
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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