Show simple item record

On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas

hal.structure.identifierDipartimento di Matematica e Informatica [Firenze] [DiMal]
dc.contributor.authorBarletti, Luigi
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierDipartimento di matematica F. Casorati
dc.contributor.authorSalvarani, Francesco
dc.date.accessioned2018-01-11T11:23:54Z
dc.date.available2018-01-11T11:23:54Z
dc.date.issued2016
dc.identifier.issn0036-1399
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17271
dc.language.isoenen
dc.subjectquantum drift diffusionen
dc.subjectfermionsen
dc.subjectnonlinear parabolic equationsen
dc.subjectmixed boundary conditionsen
dc.subject.ddc515en
dc.titleOn a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gasen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis article studies, both theoretically and numerically, a nonlinear drift-diffusion equation describing a gas of fermions in the zero-temperature limit. The equation is considered on a bounded domain whose boundary is divided into an insulating " part, where homogeneous Neumann conditions are imposed, and a " contact " part, where non-homogeneous Dirichlet data are assigned. The existence of stationary solutions for a suitable class of Dirichlet data is proven by assuming a simple domain configuration. The long-time behavior of the time-dependent solution, for more complex domain configurations, is investigated by means of numerical experiments.en
dc.relation.isversionofjnlnameSIAM Journal on Applied Mathematics
dc.relation.isversionofjnlvol76en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2016-05
dc.relation.isversionofjnlpages867 - 886en
dc.relation.isversionofdoi10.1137/140998263en
dc.relation.isversionofjnlpublisherSociety for Industrial and Applied Mathematicsen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2018-01-11T11:20:01Z
hal.author.functionaut
hal.author.functionaut


Files in this item

Thumbnail
Name:
BaSa_SIAP-revised_2.pdf
Size:
818.6Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record