English
The principal eigenvalue of time-periodic nonlocal equations with drift
Multi angle
Auteurs : Gabriel, Pierre (Auteur de la conférence)
CIRM (Editeur )
35B10 - Periodic solutions
35B40 - Asymptotic behavior of solutions of PDE
47B65 - Positive operators and order-bounded operators
35Q92 - PDEs in connection with biology and other natural sciences
35R01 - Partial differential equations on manifolds
CIRM (Editeur )
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Résumé :
We consider a general time-periodic linear transport equation with integral source term and we prove the existence of a Floquet principal eigenvalue, namely a real number such that the equation rescaled by this number admits positive periodic solutions. We also prove the exponential attractiveness of these solutions. The method relies on general spectral results about positive operators.
Codes MSC : 35B10 - Periodic solutions
35B40 - Asymptotic behavior of solutions of PDE
47B65 - Positive operators and order-bounded operators
35Q92 - PDEs in connection with biology and other natural sciences
35R01 - Partial differential equations on manifolds
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 11/10/2024 Date de Captation : 26/09/2024 Sous Collection : Research talks Catégorie arXiv : Analysis of PDEs ; Functional Analysis ; Spectral Theory Domaine(s) : EDP Format : MP4 (.mp4) - HD Durée : 00:44:18 Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-09-25_Gabriel.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Non-local branching processes / Processus de branchement non localOrganisateurs de la Rencontre : Cloez, Bertrand ; Maillard, Pascal ; Penington, Sarah ; Zalduendo Vidal, Nicolas Dates : 23/09/2024 - 27/09/2024 Année de la rencontre : 2024 URL de la Rencontre : https://conferences.cirm-math.fr/3109.html
Données de citation
DOI : 10.24350/CIRM.V.20248603Citer cette vidéo: Gabriel, Pierre (2024). The principal eigenvalue of time-periodic nonlocal equations with drift. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20248603 URI : http://dx.doi.org/10.24350/CIRM.V.20248603 |
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Bibliographie
- CLOEZ, Bertrand, ABDOUNI, Adil El, et GABRIEL, Pierre. The principal eigenvalue problem for time-periodic nonlocal equations with drift. arXiv preprint arXiv:2409.01868, 2024. - https://doi.org/10.48550/arXiv.2409.01868
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