Scientific Calendar Event



Description
An ICTP meeting in person

The insurgence of turbulent vs integrable behavior is a classical topic of fundamental importance in physics, mathematics. The goal of this school/ workshop is to bring together different communities working in nearby topics of wave dynamics to foster interactions which can benefit each group.
  
The relevant equations describing these phenomena come from dispersive partial differential equations and fluid dynamics, describing propagation and interaction of nonlinear wave phenomena in dispersive media, encompassing both dynamic and stochastic aspects of wave propagation. Recently, several theoretical and experimental outcomes in the field of dispersive and fluids equations have opened up new areas for research, with intriguing open issues in both theory and applications. On one side, experimental and theoretical physicists working on insurgence of turbulent dynamics, rogue wave formations, experimental fluid dynamics.  On the other side, mathematicians working analytically on integrable systems, soliton gases, stability and perturbation  theory, KAM and normal forms of dispersive and fluids equations, and rigorous derivations of wave kinetic equations and (generalized) hydrodynamic equations.

Topics:
  • Turbulent dynamics and wave kinetic equations
  • Rogue wave formations
  • Fluid dynamics
  • Soliton gas and  generalized hydrodynamic
  • KAM  theory and normal forms
School Lecturers:
G. DEMATTEIS, Woods Hole Oceanographic Institution, USA
G. EL, University of Northumbria, UK
Z. HANI, University of  Michigan, USA
R. JENKINS, University of Central Florida, USA
K. MCLAUGHLIN, Tulane University, USA
S. NAZARENKO, Insitute de Physique de Nice, France
G. STAFFILANI, MIT, USA

Speakers:
M. BERTOLA, Concordia University, Canada
G. BIONDINI, University of Buffalo, USA
A. DHAR, ICTS-TIFR, Bengaluru, India
L. FRANZOI, NYU Abu Dhabi, UAE
R. GRANDE, ENS Paris, France
Z. HASSAINA, NYU Abu Dhabi, UAE
R. LUCA, BECAM Bilbao, Spain
P. MILLER, University of  Michigan, USA    
B. PRINARI,  University of Buffalo, USA
M. PROCESI, Roma 3, Italy
P. SURET, University of Lille, France
F. J. TORRES DE LIZAUR, University of Seville, Spain

Call for Contributed Abstracts: In the application form, all applicants are encouraged to submit a brief abstract for a poster presentation. A limited number of contributed abstracts will be selected for the poster session.

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.
 
ERC STARTING GRANT 2021, "Hamiltonian Dynamics, Normal Forms and Water Waves" (HamDyWWa), Project Number: 101039762.
 
Go to day
  • Monday, 28 August 2023
    • 08:30 - 09:00
      • 08:30 Registration formalities 30'
        REGISTRATION: Upon arrival, Visitors not staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Adriatico Guest House (Lower level). The Registration Desk will be open from 8.30 to 9.00.
    • 09:00 - 14:00
      • 09:00 Wave Turbulence: derivation, solutions, validation - Part I 1h30'
        Speaker: Sergey NAZARENKO (Insitute de Physique de Nice, France)
        Material: Abstract Video
      • 10:30 Coffee break 30'
      • 11:00 Extreme events in deterministic dynamics with application to rogue waves 1h30'
        Speaker: Giovanni DEMATTEIS (Woods Hole Oceanographic Institution, USA)
        Material: Abstract Slides Video
      • 12:30 Lunch break 1h30'
    • 14:00 - 16:00
      Location: Leonardo Building - Budinich Lecture Hall
      • 14:00 2022 Dirac Medal and Prize Ceremony and Postgraduate Diploma Students 2022/2023 Graduation Ceremony 2h0'
        You are cordially invited to attend in presence the 2022 Dirac Medal and Prize Ceremony and Postgraduate Diploma Students 2022/2023 Graduation Ceremony.
        
        The 2022 Dirac Medallists are:
        Joel L. Lebowitz, Center for Mathematical Sciences Research, Rutgers, State University of New Jersey, USA
        Elliott H. Lieb, Princeton University, USA
        David P. Ruelle, Institut des Hautes Études Scientifiques, France.
        
        Further information can be found also at the following link: 
        https://indico.ictp.it/event/10311/
    • 16:40 - 17:30
      • 16:40 Reducibility of the linear wave equation with unbounded perturbation 50'
        Speaker: Michela PROCESI (Roma 3, Italy)
        Material: Abstract Video
  • Tuesday, 29 August 2023
    • 09:00 - 17:40
      • 09:00 Introduction to the analysis of integrable PDEs when the number of solitons goes to infinity, with an aim towards analytical and computational research projects - Part I 1h30'
        Speaker: Kenneth MCLAUGHLIN (Tulane University, USA), Robert JENKINS (University of Central Florida, USA)
        Material: Abstract Slides Video
      • 10:30 Coffee break 30'
      • 11:00 Some recent developments in wave  turbulence theory 1 1h30'
        Speaker: Gigliola STAFFILANI (MIT, Boston, USA)
        Material: Abstract Video
      • 12:30 Lunch break 2h0'
      • 14:30 Inverse spectral theory for the periodic defocusing Zakharov-Shabat problem and inverse scattering transform for the periodic defocusing nonlinear Schrodinger equation 50'
        Speaker: Gino BIONDINI (University of Buffalo, USA)
      • 15:20 Quasi-periodic steady invariant structures in incompressible fluids 50'
        Speaker: Luca FRANZOI (NYU Abu Dhabi)
        Material: Abstract Slides Video
      • 16:10 Break 20'
      • 16:30 3 Minutes talks 1h10'
    • 17:40 - 18:40
      Material: Booklet with poster abstracts
      • 17:40 Welcome drink and poster session 1h0'
  • Wednesday, 30 August 2023
    • 09:00 - 17:30
      • 09:00 Wave Turbulence: derivation, solutions, validation - Part II 1h30'
        Speaker: Sergey NAZARENKO (Insitute de Physique de Nice, France)
        Material: Video
      • 10:30 Coffee break 30'
      • 11:00 Some recent developments in wave  turbulence theory 2 1h30'
        Speaker: Gigliola STAFFILANI (MIT, Boston, USA)
        Material: Video
      • 12:30 Lunch break 2h0'
      • 14:30 On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background 50'
        Speaker: Barbara PRINARI (University of Buffalo, USA)
        Material: Abstract Video
      • 15:20 Blast and Splash in a one-dimensional cold gas 50'
        Speaker: Abhishek DHAR (ICTS-TIFR, Bengaluru, India)
        Material: Abstract Video
      • 16:10 Break 30'
      • 16:40 Soliton gas: from theory to water waves and optical fiber experiment 50'
        Speaker: Pierre SURET (University of Lille, France)
        Material: Abstract Slides Video
  • Thursday, 31 August 2023
    • 09:00 - 18:30
      • 09:00 Emergent hydrodynamics of soliton gases in nonlinear dispersive waves 1h30'
        Speaker: Gennady EL (University of Northumbria, UK)
        Material: Abstract Video
      • 10:30 Coffee break 30'
      • 10:50 Group Photo 5'
      • 11:00 The mathematical theory of wave turbulence 1h30'
        Speaker: Zaher HANI (University of Michigan, USA)
        Material: Abstract Video
      • 12:30 Lunch break 3h0'
      • 15:30 On the desingularization of pairs of point vortices in the presence of background shear 50'
        Speaker: Zineb HASSAINA (NYU Abu Dhabi, UAE)
        Material: Abstract
      • 16:20 Degeneration of Riemann surfaces, Theta functions and solitons 50'
        Speaker: Marco BERTOLA (Concordia University, Canada)
        Material: Abstract Video
      • 17:10 Break 30'
      • 17:40 Probabilistic study of the formation of extreme waves 50'
        Speaker: Ricardo GRANDE (ENS Paris, France)
        Material: Abstract
    • 19:30 - 21:30
      • 19:30 Reception Dinner 2h0'
        All participants are cordially invited to the Reception Dinner.
  • Friday, 1 September 2023
    • 09:00 - 12:40
      • 09:00 Introduction to the analysis of integrable PDEs when the number of solitons goes to infinity, with an aim towards analytical and computational research projects - Part II 1h30'
        Speaker: Kenneth MCLAUGHLIN (Tulane University, USA), Robert JENKINS (University of Central Florida, USA)
        Material: Slides Video
      • 10:30 Coffee break 30'
      • 11:00 Quasiperiodic solutions and invariant manifolds of the Euler equation 50'
        Speaker: Francisco Javier TORRES DE LIZAUR (University of Seville, Spain)
        Material: Abstract Video
      • 11:50 Phase blow up for the cubic NLS and connections with the binormal flow 50'
        Speaker: Renato LUCA (BCAM Bilbao, Spain)
        Material: Abstract Video