A kinetic approach to hyperbolic systems and the role of higher order entropies


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JUNK, Michael, 2001. A kinetic approach to hyperbolic systems and the role of higher order entropies. In: FREISTÜHLER, Heinrich, ed., Gerald WARNECKE, ed.. Hyperbolic Problems: Theory, Numerics, Applications. Basel:Birkhäuser Basel, pp. 583-592. ISBN 978-3-0348-9538-5

@inproceedings{Junk2001kinet-25466, title={A kinetic approach to hyperbolic systems and the role of higher order entropies}, year={2001}, doi={10.1007/978-3-0348-8372-6_12}, isbn={978-3-0348-9538-5}, address={Basel}, publisher={Birkhäuser Basel}, booktitle={Hyperbolic Problems: Theory, Numerics, Applications}, pages={583--592}, editor={Freistühler, Heinrich and Warnecke, Gerald}, author={Junk, Michael} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/25466"> <dcterms:bibliographicCitation>Hyperbolic Problems: Theory, Numerics, Applications : Eighth International Conference in Magdeburg, February/March 2000 ; Volume II / Heinrich Freistühler and Gerald Warnecke (eds.). - Basel : Birkhäuser Basel, 2001. - S. 583-592. - (ISNM International Series of Numerical Mathematics ; 141). - ISBN 978-3-0348-8372-6</dcterms:bibliographicCitation> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/25466"/> <dcterms:abstract xml:lang="eng">The reformulation of conservation laws in terms of kinetic equations, which parallels the relation between Boltzmann and Euler equation, has been successfully used in the form of kinetic schemes. The central problem in the kinetic approach is the construction of suitable equilibrium distributions which generalize the Maxwellian in the Boltzmann—Euler case. Here, we present a solution to this problem which allows the construction of equilibrium distributions for general systems of hyperbolic conservation laws. The approach leads to the notion of higher order entropies and generalizes several approaches discussed by other authors.</dcterms:abstract> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-12-17T19:48:37Z</dc:date> <dc:creator>Junk, Michael</dc:creator> <dcterms:title>A kinetic approach to hyperbolic systems and the role of higher order entropies</dcterms:title> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dc:language>eng</dc:language> <dc:contributor>Junk, Michael</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-12-17T19:48:37Z</dcterms:available> <dc:rights>deposit-license</dc:rights> <dcterms:issued>2001</dcterms:issued> </rdf:Description> </rdf:RDF>

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