Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-310
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dc.contributor.authorGebauer, Bastian
dc.date.accessioned2008-11-19T15:48:46Z
dc.date.available2008-11-19T16:48:46Z
dc.date.issued2007
dc.identifier.urihttps://openscience.ub.uni-mainz.de/handle/20.500.12030/312-
dc.description.abstractWe consider the heat flux through a domain with subregions in which the thermal capacity approaches zero. In these subregions the parabolic heat equation degenerates to an elliptic one. We show the well-posedness of such parabolic-elliptic differential equations for general non-negative L-infinity-capacities and study the continuity of the solutions with respect to the capacity, thus giving a rigorous justification for modeling a small thermal capacity by setting it to zero. We also characterize weak directional derivatives of the temperature with respect to capacity as solutions of related parabolic-elliptic problems.en_GB
dc.language.isoeng
dc.rightsInCopyrightde_DE
dc.rights.urihttps://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510 Mathematikde_DE
dc.subject.ddc510 Mathematicsen_GB
dc.titleSensitivity analysis of a parabolic-elliptic problemen_GB
dc.typeZeitschriftenaufsatzde_DE
dc.identifier.urnurn:nbn:de:hebis:77-17929
dc.identifier.doihttp://doi.org/10.25358/openscience-310-
jgu.type.dinitypearticle
jgu.type.versionPublished versionen_GB
jgu.type.resourceText
jgu.organisation.departmentFB 08 Physik, Mathematik u. Informatik-
jgu.organisation.number7940-
jgu.organisation.nameJohannes Gutenberg-Universität Mainz-
jgu.rights.accessrightsopenAccess-
jgu.journal.titleQuarterly of applied mathematics
jgu.journal.volume65
jgu.journal.issue3
jgu.pages.start591
jgu.pages.end604
jgu.publisher.year2007
jgu.publisher.nameBrown Univ.
jgu.publisher.placeProvidence, RI
jgu.publisher.issn0033-569X
jgu.organisation.placeMainz-
jgu.subject.ddccode510
opus.date.accessioned2008-11-19T15:48:46Z
opus.date.modified2008-11-25T09:39:46Z
opus.date.available2008-11-19T16:48:46
opus.subject.dfgcode00-000
opus.subject.otherParabolic-elliptic equation, degenerate parabolic equation, asymptotic behavior, sensitivity analysisen_GB
opus.organisation.stringFB 08: Physik, Mathematik und Informatik: Institut für Mathematikde_DE
opus.identifier.opusid1792
opus.institute.number0804
opus.metadataonlyfalse
opus.type.contenttypeKeinede_DE
opus.type.contenttypeNoneen_GB
opus.affiliatedGebauer, Bastian
jgu.organisation.rorhttps://ror.org/023b0x485
Appears in collections:JGU-Publikationen

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