English
Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$
Multi angle
Auteurs : Visciglia, Nicola (Auteur de la Conférence)
CIRM (Editeur )
35B40 - Asymptotic behavior of solutions of PDE
35P25 - Scattering theory
35Q55 - NLS-like equations (nonlinear Schrödinger)
CIRM (Editeur )
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Résumé :
We consider the nonlinear Schrödinger equation in the partially periodic setting $\mathbb{R}^d\times \mathbb{T}$. We present some recent results obtained in collaboration with N. Tzvetkov concerning the Cauchy theory and the long-time behavior of the solutions.
nonlinear Schrödinger equation - Cauchy theory - scattering
Codes MSC : nonlinear Schrödinger equation - Cauchy theory - scattering
35B40 - Asymptotic behavior of solutions of PDE
35P25 - Scattering theory
35Q55 - NLS-like equations (nonlinear Schrödinger)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Français Date de publication : 07/01/15 Date de captation : 10/12/14 Sous collection : Research talks arXiv category : Mathematical Physics ; Analysis of PDEs Domaine : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:49:26 Audience : Researchers Download : https://videos.cirm-math.fr/2014-12-10_Visciglia.mp4 
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Informations sur la Rencontre
Nom de la rencontre : LEM2I international conference / Colloque international du LEM2IOrganisateurs de la rencontre : Benabdallah, Assia ; Dehman, Belhassen ; Dermenjian, Yves ; Lebeau, Gilles ; Pardoux, Etienne Dates : 08/12/14 - 12/12/14 Année de la rencontre : 2014 URL Congrès : http://lem2i-2014.sciencesconf.org/
Données de citation
DOI : 10.24350/CIRM.V.18653203Citer cette vidéo: Visciglia, Nicola (2014). Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18653203 URI : http://dx.doi.org/10.24350/CIRM.V.18653203 |
Bibliographie
- Hani, Z., Pausader, B., Tzvetkov, N., & Visciglia, N. (2014). Modified scattering for the cubic Schrödinger equation on product spaces and applications.
- Tzvetkov, N., & Visciglia, N. (2014). Well-posedness and scattering for NLS on $\mathbb{R}^d\times \mathbb{T}$ in the energy space.
- Tzvetkov, N., & Visciglia, N. (2012) Small data scattering for the nonlinear Schrödinger equation on product spaces. Communications in Partial Differential Equations, 37(1-3), 125-135 - http://dx.doi.org/10.1080/03605302.2011.574306
