Numerical and analytical approaches for nonlinear dispersive PDEs

Dec 9, 2024, 10:00 AM → Dec 13, 2024, 12:30 PM Europe/Paris

René Baire (IMB)

Welcome to the webpage of the conference "Numerical and analytical approaches for nonlinear dispersive PDEs"

List of participants

S. Abenda (Bologna)

 

A. Arnold (Vienna)

 

Y. Alama Bronsard (Rennes)

 

E. de Leon (Munich)

 

M. Ehrnström (Trondheim)

 

M. Fasondini (Leister)

 

L. Gassot (Rennes)

 

S. Gavrilyuk (Marseille)

 

P. Gérard (Orsay)

 

G. Grahovski (Essex)

 

M. Haragus (Besancon)

 

L. Jeanjean (Besancon)

 

J. Lampart (Dijon)

 

C. Lasser (Munich)

 

A. Ostermann (Innsbruck) 

 

D. Pelinovsky (Hamilton)

 

P. Perry (Lexington)

 

S. Roudenko (Miami)

 

S. Rota Nodari (Nice)

 

J.-C. Saut (Orsay)

 

J. Sjoestrand (Dijon)

 

C. Sulem (Toronto)

 

C. Sun (Besancon)

 

D. Tataru (Berkely)

 

F. Valet (Cergy)

 

M. Zerzeri (Paris)

 

Organizing committee

Christian Klein, and Nikola Stoilov

Local organizer

Magali Crochot

 

book_of_abstracts.pdf

Monday, December 9

10:00 AM → 10:45 AM M. Ehrnström: ON THE PRECISE CUSPED BEHAVIOUR OF EXTREME SOLUTIONS TO WHITHAM-TYPE EQUATIONS

11:15 AM → 12:00 PM A. Arnold: Short- and long-time behavior in evolution equations: the role of the hypocoercivity index

1:30 PM → 2:15 PM P. Gérard: Global wellposedness and soliton resolution for the half-wave maps equation with rational data on the line.

2:15 PM → 3:00 PM Y. Alama Bronsard: Numerical approximations to nonlinear dispersive equations in non-smooth regimes

3:30 PM → 4:15 PM C. Sun: Recent studies on the spectral (in-)stability of periodic traveling waves.

Tuesday, December 10

9:15 AM → 10:00 AM J. Lampart: Superfluidity and the spectrum of polaron Hamiltonians

10:00 AM → 10:45 AM S. Rota Nodari: On a quasilinear Schrödinger equation: the small frequency limit

11:15 AM → 12:00 PM C. Sulem: Bloch-Floquet band gaps for water waves over a periodic bottom

1:30 PM → 2:15 PM D. Pelinovsky: Breathers on traveling wave background in BO and NLS-BO dispersive equations

2:15 PM → 3:00 PM S. Gavrilyuk: Helicity in dispersive continuum mechanics

3:30 PM → 4:15 PM M. Fasondini: Methods for computing PDEs in the complex plane

Wednesday, December 11

9:15 AM → 10:00 AM N. Stoilov: Spectral approaches to solutions that are non-trivial at infinity

10:00 AM → 10:45 AM D. Tataru: The global well-posedness conjectures for 1D dispersive flows

11:15 AM → 12:00 PM C. Lasser: Observing variational gaussian wave packets

1:30 PM → 2:15 PM L. Gassot: Explicit formulas for the Benjamin-Ono equation

2:15 PM → 3:00 PM A. Ostermann: Low Regularity Time Integration of the Boussinesq Equation

3:30 PM → 4:15 PM G. Grahovski: On the N-wave hierarchy with constant boundary conditions

Thursday, December 12

10:00 AM → 10:45 AM S. Roudenko: Bi-harmonic NLS: well-posedness and soliton dynamics

11:15 AM → 12:00 PM L. Jeanjean:

1:30 PM → 2:15 PM J. Sjöstrand: Polarization approach to certain singular integrals

2:15 PM → 3:00 PM P. Perry: Long-time asymptotics for the Kadomtsev-Petviashvili I Equation

3:30 PM → 4:15 PM S. Abenda: KP2 real multi-line solitons: the role of combinatorics and tropical geometry in the direct and inverse spectral problems

Friday, December 13

9:15 AM → 10:00 AM F. Valet: Collision of two solitary waves for the Zakharov-Kuznetsov equation

10:00 AM → 10:45 AM E. de Leon: Parametrical numerical approximation of equations of the type \partial_t u = f(t,x,u)

11:15 AM → 12:00 PM J.-C. Saut: Shock formation for weakly dispersive perturbations of the Burgers equation