Nonlinear Waves 2016: Summer School

18 juil. 2016, 03:45 → 29 juil. 2016, 18:00 Europe/Paris

Marilyn and James Simons Conference Center (IHÉS)

Organized as part of the IHÉS Lectures, this 2-weeks Summer School will be the last major scientific event of the special trimester on Non-Linear Waves that will start in the beginning of May 2016 at IHÉS. This school aims at providing an overview of recent developments in the field at this stage of the new cycle started a few years ago and to provide to post-docs and researchers in the early stage of their career working in these domains an opportunity to interact with leading experts on the subject.

Another objective is to gather researchers with different backgrounds whose research is much more converging today than 4 years ago, such as the French schools working on fluid models, on kinetic theory, dynamical systems and partial differential equations in relation to finite-dimensional Hamiltonian models or the microlocal community.

Last but not least, another objective would be the following: the advances have helped to solve classical problems from physics with new and very advanced methods based on analytical intuition thus not always understood or simply not well-known by the physicists. The idea would be to initiate a transfer to physicists interested in non linear waves phenomena and intensify the discussions on more realistic models, whether fluid, kinetic or of high-frequency waves.

We will supplement mini courses (3 hours) in the morning and plenary talks in the afternoon (40-45 minutes) during 2 weeks.

Mini course speakers:

Rupert FRANK (California Institute of Technology)
Carlos KENIG (University of Chicago)
Nader MASMOUDI (Courant Institute of Mathematical Sciences)
Benoît PAUSADER (Brown University)
Michela PROCESI (Universita di Roma 1)
Robert STRAIN (University of Pennsylvania)
Daniel TATARU (University of California at Berkeley)

Plenary talks speakers:

Stefano BIANCHINI (SISSA)
Rémi CARLES (CNRS - IMAG Montpellier)
Stephen GUSTAFSON (University of British Columbia)
Joachim KRIEGER (EPFL)
Hans LINDBLAD  (Johns Hopkins University)
Hiroshi MATANO  (School of Science, University of Tokyo)
Natasa  PAVLOVIC (University of Texas at Austin)
Robert PEGO  (Carnegie Mellon University)
Svetlana ROUDENKO (George Washington University)
Gigliola  STAFFILANI (Massachusetts Institute of Technology)
Tai-Peng TSAI (University of British Columbia)
Nicola VISCIGLIA (Universita di Pisa)
Sijue WU (University of Michigan)

Organising Committee:

Yvan MARTEL (École Polytechnique)
Frank MERLE (Université de Cergy-Pontoise & IHÉS)
Fabrice PLANCHON (Université Nice Sophia-Antipolis)
 

Crédit photographique: © CNRS Photothèque
RAJAU Benoît (UMR7538 - Laboratoire de physique des lasers (LPL), VILLETANEUSE et VRIGNAUD François (UMR6172 - XLIM - LIMOGES)

With the support of

Abstracts abstracts_Ecole_Ete.pdf

General Acces Map acces_map.pdf

Places to eat place_to_eat.pdf

Poster poster_Ecole_Ete2016.pdf

Residence Fleming Residence_fleming.pdf

lundi 18 juillet

08:45 → 17:00 18 july

08:45 Registration and welcome coffee

09:45 Welcome by the organisers

10:00 Carlos KENIG

Soliton resolution for the energy critical wave equation (1)

11:15 Coffee break

11:30 Nader MASMOUDI

Stability of the 3D Couette Flow (1)

Abstract MASMOUDI.pdf

12:45 Lunch break

15:00 Gigliola STAFFILANI

Recent developments on certain dispersive equations as infinite dimensional Hamiltonian systems

15:45 Coffee break

16:15 Nicola VISCIGLIA

On the Growth of Sobolev norms for 3d cubic NLS

mardi 19 juillet

09:15 → 17:00 19 july

09:15 Welcome coffee

10:00 Carlos KENIG

Soliton resolution for the energy critical wave equation (2)

11:15 Coffee break

11:30 Nader MASMOUDI

Stability of the 3D Couette Flow (2)

12:45 Lunch break

15:00 Joachim KRIEGER

On stability of type II blow up solutions for the critical NLW

Abstract KRIEGER.pdf

15:45 Coffee break

16:15 Rémi CARLES

Finite and infinite loss of regularity for nonlinear Schrodinger equation

mercredi 20 juillet

09:15 → 17:00 20 july

09:15 Welcome coffee

10:00 Carlos KENIG

Soliton resolution for the energy critical wave equation (3)

11:15 Coffee break

11:30 Nader MASMOUDI

Stability of the 3D Couette Flow (3)

12:45 Buffet lunch at IHES

15:00 Robert PEGO

Euler sprays and optimal transport

15:45 Coffee break

16:15 Discusssion time

jeudi 21 juillet

09:15 → 17:00 21 July

09:15 Welcome coffee

10:00 Daniel TATARU

Two dimensional water waves (1)

11:15 Coffee break

11:30 Rupert FRANK

A microscopic derivation of Ginzburg-Landau theory (1)

12:45 Lunch break

15:00 Stephen GUSTAFSON

Stability of periodic waves of 1D nonlinear Schrödinger equations

Abstract GUSTAFSON.pdf

15:45 Coffee break

16:15 Natasa PAVLOVIC

On the Boltzmann equation in the non-cutoff case

Abstract PAVLOVIC.pdf

vendredi 22 juillet

09:15 → 16:15 22 July

09:15 Welcome coffee

10:00 Daniel TATARU

Two dimensional water waves (2)

11:15 Coffee break

11:30 Rupert FRANK

A microscopic derivation of Ginzburg-Landau theory (2)

12:45 Lunch break

15:00 Daniel TATARU

Two dimensional water waves (3)

lundi 25 juillet

09:15 → 17:00 25 July

09:15 Welcome coffee

Rupert FRANK

10:00 Rupert FRANK

A microscopic derivation of Ginzburg-Landau theory (3)

11:15 Coffee break

11:30 Robert STRAIN

On the Vlasov-Maxwell System in the Whole Space (1)

12:45 Lunch break

15:00 Hans LINDBLAD

The free boundary problem for a slightly compressible liquid

15:45 Coffee break

16:15 Discussion time

mardi 26 juillet

09:15 → 17:00 26 July

09:15 Welcome coffee

10:00 Michela PROCESI

Recurrent and diffusive dynamics for the NLS equation on tori (1)

Abstract PROCESI.pdf

11:15 Coffee break

11:30 Robert STRAIN

On the Vlasov-Maxwell System in the Whole Space (2)

12:45 Lunch break

15:00 Sijue WU

On two dimensional gravity water waves with angled crests

Abstact SijuWU.pdf

15:45 Coffee break

16:15 Stefano BIANCHINI

Concentration of entropy dissipation for scalar conservation laws

mercredi 27 juillet

09:15 → 17:00 27 July

09:15 Welcome coffee

10:00 Robert STRAIN

On the Vlasov-Maxwell System in the Whole Space (3)

11:15 Coffee break

11:30 Benoît PAUSADER

Asymptotic behavior for the cubic nonlinear Schrodinger equation on product spaces (1)

Abstract PAUSADER.pdf

12:45 Buffet lunch at IHES

15:00 Tai-Peng TSAI

Forward Self-Similar and Discretely Self-Similar Solutions of the 3D incompressible Navier-Stokes Equations

Abstract Tai.pdf

15:45 Coffee break

16:15 Discussion time

jeudi 28 juillet

09:15 → 17:00 28 July

09:15 Welcome coffee

10:00 Michela PROCESI

Recurrent and diffusive dynamics for the NLS equation on tori (2)

11:15 Coffee break

11:30 Benoît PAUSADER

Asymptotic behavior for the cubic nonlinear Schrodinger equation on product spaces (2)

12:45 Lunch break

15:00 Svetlana ROUDENKO

Going beyond the threshold: blow-up and scattering in the focusing NLS equation

15:45 Coffee break

16:15 Hiroshi MATANO

Soliton resolution for the critical nonlinear heat equation

vendredi 29 juillet

09:15 → 15:00 29 July

09:15 Welcome coffee

10:00 Michela PROCESI

Recurrent and diffusive dynamics for the NLS equation on tori (3)

11:15 Coffee break

11:30 Benoît PAUSADER

Asymptotic behavior for the cubic nonlinear Schrodinger equation on product spaces (3)

12:45 Lunch break