Maximum Entropy Moment Problems and Extended Euler Equations

Kurzanzeige
dc.contributor.authorJunk, Michael
dc.date.accessioned2013-12-19T17:46:13Zdeu
dc.date.available2013-12-19T17:46:13Zdeu
dc.date.issued2004
dc.description.abstractThe reduction of kinetic equations to moment systems leads to a closure problem because material laws have to be expressed in terms of the moment variables. In the maximum entropy approach, the closure problem is solved by assuming that the kinetic distribution function maximizes the entropy under some constraints. For the case of Boltzmann equation, the resulting hyperbolic moment systems are investigated. It turns out that the systems generally have non-convex domains of definition. Moreover, the equilibrium state is typically located on the boundary of the domain of definition where the fluxes are singular. This leads to the strange property that arbitrarily close to equilibrium the characteristic velocities of the moment system can be arbitrarily large.eng
dc.description.versionpublished
dc.identifier.citationTansport in Transition Regimes / Naoufel Ben Abdallah ... (eds.). - New York, NY : Springer, 2004. - S. 189-198. - (The IMA Volumes in Mathematics and its Applications ; 135). - ISBN 978-1-4612-6507-8deu
dc.identifier.doi10.1007/978-1-4613-0017-5_11deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/25409
dc.language.isoengdeu
dc.legacy.dateIssued2013-12-19deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subjectmaximum entropydeu
dc.subjectmoment methodsdeu
dc.subjectmoment realizabilitydeu
dc.subject.ddc510deu
dc.titleMaximum Entropy Moment Problems and Extended Euler Equationseng
dc.typeINCOLLECTIONdeu
dspace.entity.typePublication
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  year={2004},
  doi={10.1007/978-1-4613-0017-5_11},
  title={Maximum Entropy Moment Problems and Extended Euler Equations},
  number={135},
  isbn={978-1-4612-6507-8},
  publisher={Springer New York},
  address={New York, NY},
  series={The IMA Volumes in Mathematics and its Applications},
  booktitle={Transport in Transition Regimes},
  pages={189--198},
  editor={Abdallah, Naoufel Ben and Gamba, Irene M. and Ringhofer, Christian and Arnold, Anton and Glassey, Robert T. and Degond, Pierre and Levermore, C. David},
  author={Junk, Michael}
}
kops.citation.iso690JUNK, Michael, 2004. Maximum Entropy Moment Problems and Extended Euler Equations. In: ABDALLAH, Naoufel Ben, ed., Irene M. GAMBA, ed., Christian RINGHOFER, ed., Anton ARNOLD, ed., Robert T. GLASSEY, ed., Pierre DEGOND, ed., C. David LEVERMORE, ed.. Transport in Transition Regimes. New York, NY: Springer New York, 2004, pp. 189-198. The IMA Volumes in Mathematics and its Applications. 135. ISBN 978-1-4612-6507-8. Available under: doi: 10.1007/978-1-4613-0017-5_11deu
kops.citation.iso690JUNK, Michael, 2004. Maximum Entropy Moment Problems and Extended Euler Equations. In: ABDALLAH, Naoufel Ben, ed., Irene M. GAMBA, ed., Christian RINGHOFER, ed., Anton ARNOLD, ed., Robert T. GLASSEY, ed., Pierre DEGOND, ed., C. David LEVERMORE, ed.. Transport in Transition Regimes. New York, NY: Springer New York, 2004, pp. 189-198. The IMA Volumes in Mathematics and its Applications. 135. ISBN 978-1-4612-6507-8. Available under: doi: 10.1007/978-1-4613-0017-5_11eng
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kops.sourcefieldABDALLAH, Naoufel Ben, ed., Irene M. GAMBA, ed., Christian RINGHOFER, ed., Anton ARNOLD, ed., Robert T. GLASSEY, ed., Pierre DEGOND, ed., C. David LEVERMORE, ed.. <i>Transport in Transition Regimes</i>. New York, NY: Springer New York, 2004, pp. 189-198. The IMA Volumes in Mathematics and its Applications. 135. ISBN 978-1-4612-6507-8. Available under: doi: 10.1007/978-1-4613-0017-5_11deu
kops.sourcefield.plainABDALLAH, Naoufel Ben, ed., Irene M. GAMBA, ed., Christian RINGHOFER, ed., Anton ARNOLD, ed., Robert T. GLASSEY, ed., Pierre DEGOND, ed., C. David LEVERMORE, ed.. Transport in Transition Regimes. New York, NY: Springer New York, 2004, pp. 189-198. The IMA Volumes in Mathematics and its Applications. 135. ISBN 978-1-4612-6507-8. Available under: doi: 10.1007/978-1-4613-0017-5_11deu
kops.sourcefield.plainABDALLAH, Naoufel Ben, ed., Irene M. GAMBA, ed., Christian RINGHOFER, ed., Anton ARNOLD, ed., Robert T. GLASSEY, ed., Pierre DEGOND, ed., C. David LEVERMORE, ed.. Transport in Transition Regimes. New York, NY: Springer New York, 2004, pp. 189-198. The IMA Volumes in Mathematics and its Applications. 135. ISBN 978-1-4612-6507-8. Available under: doi: 10.1007/978-1-4613-0017-5_11eng
kops.submitter.emailchristoph.petzmann@uni-konstanz.dedeu
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source.contributor.editorAbdallah, Naoufel Ben
source.contributor.editorGamba, Irene M.
source.contributor.editorRinghofer, Christian
source.contributor.editorArnold, Anton
source.contributor.editorGlassey, Robert T.
source.contributor.editorDegond, Pierre
source.contributor.editorLevermore, C. David
source.identifier.isbn978-1-4612-6507-8
source.publisherSpringer New York
source.publisher.locationNew York, NY
source.relation.ispartofseriesThe IMA Volumes in Mathematics and its Applications
source.titleTransport in Transition Regimes

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