Spectral theory and time asymptotics of size-structured two-phase population models
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| dc.contributor.author | MOKHTAR-KHARROUBI, Mustapha | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICHARD, Quentin | |
| dc.date.accessioned | 2024-04-04T02:37:29Z | |
| dc.date.available | 2024-04-04T02:37:29Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 1531-3492 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190799 | |
| dc.description.abstractEn | This work provides a general spectral analysis of size-structured two-phase population models. Systematic functional analytic results are given. We deal first with the case of finite maximal size. We characterize the irreducibility of the corresponding L 1 semigroup in terms of properties of the different parameters of the system. We characterize also the spectral gap property of the semigroup. It turns out that the irreducibility of the semigroup implies the existence of the spectral gap. In particular, we provide a general criterion for asynchronous exponential growth. We show also how to deal with time asymptotics in case of lack of irreducibility. Finally, we extend the theory to the case of infinite maximal size. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.subject.en | irreducibility | |
| dc.subject.en | essential type | |
| dc.subject.en | spectral gap | |
| dc.subject.en | asynchronous exponential growth | |
| dc.title.en | Spectral theory and time asymptotics of size-structured two-phase population models | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/xx.xx.xx.xx | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series B | |
| bordeaux.page | 2969-3004 | |
| bordeaux.volume | 25 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03881389 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03881389v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20B&rft.date=2020&rft.volume=25&rft.issue=8&rft.spage=2969-3004&rft.epage=2969-3004&rft.eissn=1531-3492&rft.issn=1531-3492&rft.au=MOKHTAR-KHARROUBI,%20Mustapha&RICHARD,%20Quentin&rft.genre=article |
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