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The Resource The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource)
The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource)
Resource Information
The item The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item The Cauchy problem in kinetic theory, Robert T. Glassey, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This volume studies the basic equations of kinetic theory in all of space. It contains uptodate, stateoftheart treatments of initialvalue problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the VlasovPoisson/VlasovMaxwell systems (from plasma physics). This is the only existing book to treat Boltzmanntype problems and Vlasovtype 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 initialvalue problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initialvalue problem for the VlasovPoisson system with smooth initial data of unrestricted size, conditions under which the initialvalue problem for the VlasovMaxwell system has globalintime solutions (in both the smooth and weak senses), and more
 Language
 eng
 Extent
 1 electronic text (xii, 241 p.)
 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 VlasovPoisson system
 Chapter 5. The VlasovMaxwell system
 Chapter 6. Dilute collisionless plasmas
 Chapter 7. Velocity averages. weak solutions to the VlasovMaxwell system
 Chapter 8. Convergence of a particle method for the VlasovMaxwell system
 Index
 Isbn
 9781611971477
 Label
 The Cauchy problem in kinetic theory
 Title
 The Cauchy problem in kinetic theory
 Statement of responsibility
 Robert T. Glassey
 Language
 eng
 Summary
 This volume studies the basic equations of kinetic theory in all of space. It contains uptodate, stateoftheart treatments of initialvalue problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the VlasovPoisson/VlasovMaxwell systems (from plasma physics). This is the only existing book to treat Boltzmanntype problems and Vlasovtype 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 initialvalue problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initialvalue problem for the VlasovPoisson system with smooth initial data of unrestricted size, conditions under which the initialvalue problem for the VlasovMaxwell system has globalintime 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)
 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 VlasovPoisson system  Chapter 5. The VlasovMaxwell system  Chapter 6. Dilute collisionless plasmas  Chapter 7. Velocity averages. weak solutions to the VlasovMaxwell system  Chapter 8. Convergence of a particle method for the VlasovMaxwell 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

 386251701okla_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)
 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 VlasovPoisson system  Chapter 5. The VlasovMaxwell system  Chapter 6. Dilute collisionless plasmas  Chapter 7. Velocity averages. weak solutions to the VlasovMaxwell system  Chapter 8. Convergence of a particle method for the VlasovMaxwell 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

 386251701okla_normanlaw
 (SIRSI)3862517
 (Sirsi) i9781611971477
 (CaBNVSL)gtp00547388
 System details

 Mode of access: World Wide Web
 System requirements: Adobe Acrobat Reader
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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