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hal.structure.identifierInstitut für Numerische und Angewandte Mathematik
dc.contributor.authorArnold, Anton
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
hal.structure.identifierFakultät für Mathematik [Wien]
dc.contributor.authorSchmeiser, Christian
hal.structure.identifierTU Wien
dc.contributor.authorWöhrer, Tobias
dc.date.accessioned2021-10-20T09:57:08Z
dc.date.available2021-10-20T09:57:08Z
dc.date.issued2021
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22051
dc.language.isoenen
dc.subjectHypocoercivityen
dc.subjectlinear kinetic equationsen
dc.subjectentropy-entropy production inequalitiesen
dc.subjectGoldstein-Taylor modelen
dc.subjectFokker-Planck operatoren
dc.subjectlinear relaxation operatoren
dc.subjectlinear BGK operatoren
dc.subjecttransport operatoren
dc.subjectFourier modes decompositionen
dc.subjectpseudo-differential operatorsen
dc.subjectNash's inequalityen
dc.subject.ddc515en
dc.titleSharpening of decay rates in Fourier based hypocoercivity methodsen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is dealing with two L2 hypocoercivity methods based on Fourier decomposition and mode-by-mode estimates, with applications to rates of convergence or decay in kinetic equations on the torus and on the whole Euclidean space. The main idea is to perturb the standard L2 norm by a twist obtained either by a nonlocal perturbation build upon diffusive macroscopic dynamics, or by a change of the scalar product based on Lyapunov matrix inequalities. We explore various estimates for equations involving a Fokker-Planck and a linear relaxation operator. We review existing results in simple cases and focus on the accuracy of the estimates of the rates. The two methods are compared in the case of the Goldstein-Taylor model in one-dimension.en
dc.identifier.citationpages49en
dc.relation.ispartofseriestitleCahier de recherche du CEREMADEen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-03078698en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2021
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2021-10-20T09:49:38Z
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