Evolution Equations: Applied and Abstract Perspectives / Equations d'évolution: perspectives appliquées et abstraites

Collection Evolution Equations: Applied and Abstract Perspectives / Equations d'évolution: perspectives appliquées et abstraites

Organizer(s) Disser, Karoline ; Haller-Dintelmann, Robert ; Kyed, Mads ; Saal, Jürgen

Date(s) 28/10/2019 - 01/11/2019

linked URL https://conferences.cirm-math.fr/2071.html

00:00:00 / 00:00:00

1 5

Dispersive decay for small localized solutions to the Korteweg-de Vries equation

By Herbert Koch

I will report on joint work with Ifrim and Tataru on the asymptotics of small localized solutions to the Korteweg-de Vries equation up to a quartic time scale. Tools are conserved energies, energy estimates and Klainerman Sobolev inequalities. The difficulty of the problem comes from various resonances.

Information about the video

Date of recording 30/10/2019
Date of publication 29/11/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19575303
Cite this video Koch, Herbert (30/10/2019). Dispersive decay for small localized solutions to the Korteweg-de Vries equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19575303
URL https://dx.doi.org/10.24350/CIRM.V.19575303

Domain(s)

Analysis of PDEs

Bibliography

IFRIM, Mihaela, KOCH, Herbert, et TATARU, Daniel. Dispersive decay of small data solutions for the KdV equation. arXiv preprint arXiv:1901.05934, 2019. - https://arxiv.org/abs/1901.05934

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

33:02

published on November 29, 2019

Dispersive decay for small localized solutions to the Korteweg-de Vries equation

By Herbert Koch

32:07

published on November 29, 2019

Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes

By Jinkai Li

$$L^{r}$-Helmholtz-Weyl decomposition in 3D exterior domains$
31:36

published on November 29, 2019

$L^{r}$-Helmholtz-Weyl decomposition in 3D exterior domains

By Hideo Kozono

28:42

published on November 29, 2019

$L^p$-theory for Schrödinger systems

By Abdelaziz Rhandi

33:15

published on November 29, 2019

Determining the global dynamics of the two-dimensional Navier-Stokes equations by a scalar ODE

By Edriss Titi

Copyright Carmin.tv 2024

Give feedback