The principal eigenvalue of time-periodic nonlocal equations with drift | Vidéo | Carmin.tv

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The principal eigenvalue of time-periodic nonlocal equations with drift

By Pierre Gabriel

Appears in collection : Non-local branching processes / Processus de branchement non local

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.

Information about the video

Date of recording 26/09/2024
Date of publication 11/10/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20248603
Cite this video Gabriel, Pierre (26/09/2024). The principal eigenvalue of time-periodic nonlocal equations with drift. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20248603
URL https://dx.doi.org/10.24350/CIRM.V.20248603

Domain(s)

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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