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Global solutions for one dimensional dispersive models

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Authors : Tataru, Daniel (Author of the conference)
CIRM (Publisher )

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Abstract : The aim of this talk is to present some recent work concerning global existence and scattering results for small data problems of Schrödinger type in one space dimension.This is joint work with Mihaela Ifrim.

Keywords : dispersive equations; scattering; global solutions

MSC Codes :
35P25 - Scattering theory
35Q55 - NLS-like equations (nonlinear Schrödinger)
76B15 - Water waves, gravity waves; dispersion and scattering, nonlinear interaction

Additional resources :
https://www.cirm-math.fr/RepOrga/2576/Slides/tataru.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 13/06/2022
    Conference Date : 09/05/2022
    Subseries : Research talks
    arXiv category : Analysis of PDEs
    Mathematical Area(s) : PDE
    Format : MP4 (.mp4) - HD
    Video Time : 00:43:10
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2022-05-09_Tataru.mp4

Information on the Event

Event Title : Jean-Morlet Chair 2022 - Conference: Nonlinear PDEs in Fluid Dynamics / Chaire Jean-Morlet 2022 - Conférence : EDP non-linéaires en dynamique des fluides
Event Organizers : Danchin, Raphaël ; Hieber, Matthias ; Monniaux, Sylvie ; Perrin, Charlotte
Dates : 09/05/2022 - 13/05/2022
Event Year : 2022
Event URL : https://www.chairejeanmorlet.com/2576.html

Citation Data

DOI : 10.24350/CIRM.V.19917203
Cite this video as: Tataru, Daniel (2022). Global solutions for one dimensional dispersive models. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19917203
URI : http://dx.doi.org/10.24350/CIRM.V.19917203

See Also

Bibliography

  • IFRIM, Mihaela et TATARU, Daniel. Testing by wave packets and modified scattering in nonlinear dispersive pde's. arXiv preprint arXiv:2204.13285, 2022. - https://arxiv.org/abs/2204.13285

  • IFRIM, Mihaela et TATARU, Daniel. Global solutions for 1D cubic defocusing dispersive equations: Part I. arXiv preprint arXiv:2205.12212, 2022. - https://arxiv.org/abs/2205.12212



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