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The principal eigenvalue of time-periodic nonlocal equations with drift
Multi angle
Authors : Gabriel, Pierre (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 11/10/2024 Conference Date : 26/09/2024 Subseries : Research talks arXiv category : Analysis of PDEs ; Functional Analysis ; Spectral Theory Mathematical Area(s) : PDE Format : MP4 (.mp4) - HD Video Time : 00:44:18 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-09-25_Gabriel.mp4 
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Information on the Event
Event Title : Non-local branching processes / Processus de branchement non localEvent Organizers : Cloez, Bertrand ; Maillard, Pascal ; Penington, Sarah ; Zalduendo Vidal, Nicolas Dates : 23/09/2024 - 27/09/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3109.html
Citation Data
DOI : 10.24350/CIRM.V.20248603Cite this video as: 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 |
See Also
- [Virtualconference] A moment-based approach for the analysis of the infinitesimal model / Author of the conference Mirrahimi, Sepideh.
- [Multi angle] On the extinction time and maximal displacement of critical branching killed Levy process / Author of the conference Song, Renming.
- [Multi angle] Accessibility percolation for the rough Mount Fuji model / Author of the conference Roberts, Matt.
- [Multi angle] Conditioned exit measures of non-local branching processes / Author of the conference Horton, Emma.
Bibliography
- 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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