Nonlinear Waves Trimester - May Conference

Collection Nonlinear Waves Trimester - May Conference

Organizer(s) Frank MERLE (Université de Cergy-Pontoise & IHÉS), Pierre RAPHAËL (Université Nice Sophia-Antipolis), Nikolay TZVETKOV (Université de Cergy-Pontoise)

Date(s) 23/05/2016 - 27/05/2016

linked URL https://indico.math.cnrs.fr/event/889/

00:00:00 / 00:00:00

3 21

Necklace solitary waves on bounded domains

The critical power for collapse appears to place an upper bound on the amount of power that can be propagated by intense laser beams. In various applications, however, it is desirable exceed this limit and deliver more power. In this talk I will present new solitary waves of the two-dimensional nonlinear Schrodinger equation on bounded domains, which have a «necklace» structure. I will consider their structure, stability, and how to compute them. In particular, I will show that these solitary waves can stably propagate more than the critical pohe critical power for collapse.

Information about the video

Date of recording 23/05/2016
Date of publication 03/06/2016
Institution IHES
Format MP4

Domain(s)

Nonlinear Sciences

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

40:01

published on June 3, 2016

Wellposedness and scattering for the Zakharov system in four dimensions

By Kenji Nakanishi

55:51

published on June 3, 2016

The Einstein Equations and Gravitational Radiation

By Lydia Bieri

52:06

published on June 3, 2016

Necklace solitary waves on bounded domains

By Gadi Fibich

48:53

published on June 3, 2016

Modified scattering for the Gross-Pitaevskii equation

By Laurent Thomann

59:56

published on June 3, 2016

Bubbling blow - up in critical parabolic problems

By Manuel del Pino

57:27

published on June 3, 2016

Sharp local decay estimates for the Ricci flow on surfaces

By Peter Topping

54:42

published on June 3, 2016

Leapfrogging vortices for the Gross-Pitaevskii equation

By Didier Smets

57:29

published on June 3, 2016

Almost global solutions for the capillarity wave equation with small periodic data

By Jean Marc Delort

01:04:59

published on June 3, 2016

Symplectic non-squeezing for the cubic NLS on the plane

By Monica VISAN

53:33

published on June 3, 2016

Blowup for supercritical equivariant wave maps

By Piotr Bizon

53:21

published on June 3, 2016

Remarks about the self - similar solutions of the Vortex Filament Equation

By Luis Vega

56:30

published on June 3, 2016

Some Landau damping results for the HMF model and its discrete time approximation

By Erwann Faou

55:14

published on June 3, 2016

Quasi - periodic standing wave solutions of gravity-capillary water waves

By Massimiliano Berti

57:01

published on June 3, 2016

Nonlinear stability of expanding stars in the mass-critical Euler-Poisson system

By Mahir Hadzic

46:33

published on June 3, 2016

Stability of line solitons for the KP-II equation

By Tetsu Mizumachi

55:06

published on June 3, 2016

Global regularity and scattering for energy critical geometric wave equations

By Sung Jin Oh

42:15

published on June 3, 2016

Equivariant wave maps on a class of rotationally symmetric manifolds

By Piero D'Ancona

55:43

published on June 3, 2016

A continuous family of energies for the Korteweg - de Vries equation and the cubic nonlinear Schrödinger equation

By Herbert Koch

46:25

published on June 3, 2016

On special regularity properties of a class of dispersive equations

By Gustavo Ponce

53:14

published on June 3, 2016

Birkhoff normal form for nonlinear wave equations

By Walter Craig

59:18

published on June 3, 2016

The problem of stabiliy of Kerr under axilly symmetric perturbations

By Sergiu Klainerman

Copyright Carmin.tv 2024

Give feedback