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2012-06-07Zeitschriftenartikel DOI: 10.18452/27958
Parametrizations of sub-attractors in hyperbolic balance laws
dc.contributor.authorEhrt, Julia
dc.date.accessioned2023-12-13T16:37:20Z
dc.date.available2023-12-13T16:37:20Z
dc.date.issued2012-06-07none
dc.identifier.urihttp://edoc.hu-berlin.de/18452/28570
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.none
dc.description.abstractWe investigate the properties of the global attractor of hyperbolic balance laws on the circle, given by ut + f(u)x = g(u). The new tool of sub-attractors is introduced. They contain all solutions on the global attractor up to a given number of zeros. The paper proves finite dimensionality of all sub-attractors, provides a full parametrization of all sub-attractors and derives a system of ordinary differential equations for the embedding parameters that describe the full partial differential equation dynamics on the sub-attractor.eng
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510 Mathematiknone
dc.titleParametrizations of sub-attractors in hyperbolic balance lawsnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/28570-3
dc.identifier.doihttp://dx.doi.org/10.18452/27958
dc.type.versionpublishedVersionnone
local.edoc.pages21none
local.edoc.type-nameZeitschriftenartikel
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
dc.description.versionPeer Reviewednone
dc.identifier.eissn1473-7124
dcterms.bibliographicCitation.doi10.1017/S030821051000096X
dcterms.bibliographicCitation.journaltitleProceedings / Royal Society of Edinburgh. Section A, Mathematicsnone
dcterms.bibliographicCitation.volume142none
dcterms.bibliographicCitation.issue3none
dcterms.bibliographicCitation.originalpublishernameCambridge Univ. Pressnone
dcterms.bibliographicCitation.originalpublisherplaceCambridge [u.a.]none
dcterms.bibliographicCitation.pagestart563none
dcterms.bibliographicCitation.pageend583none
bua.departmentMathematisch-Naturwissenschaftliche Fakultätnone

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