Nonlinear Dispersive PDEs Workshop

Deterministic and Probabilistic Dynamics
Nonlinear Dispersive PDEs

14-16 June 2023

Maxwell Institute for Mathematical Sciences
Edinburgh, UK

Maxwell Institute brings together research activities in mathematical sciences at Edinburgh and Heriot-Watt Universities

List of speakers :
  • Meeting room
    Ground floor, to the right as one enters the building
    13-15 South College Street
    EH8 9AA, Edinburgh, UK

  • Oana Pocovnicu (Heriot-Watt University, UK)
  • Leonardo Tolomeo (University of Edinburgh, UK)
  • Guopeng Li (Maxwell Institute, UK)
  • Younes Zine (University of Edinburgh, UK)

  • This event is supported by the EPSRC New Investigator Awards (grant no. EP/S033157/1).


Wednesday, 14 June:

1pm - 2pm Stefan Le Coz (Université Toulouse III - Paul Sabatier, France)
   Stability of the multi-solitons of the modified Korteweg-de Vries equation

2pm - 3pm Frédéric Valet (University of Bergen, Norway)
  Collision of two solitary waves for the Zakharov-Kuznetsov equation

3pm - 3:30pm     Rui Liang (University of Birmingham, UK)
  Optimal divergence rate of the focusing Gibbs measure for fractional NLS on the torus

3:30pm - 4pm     Coffee break

4pm - 5pm    Boris Shakarov (Gran Sasso Science Institute, Italy)
Stability of cnoidal waves for the damped nonlinear Schrödinger equation

5pm - 6:30pm     Wine reception and poster session with posters by:

Joseph Adams (Düsseldorf): Low-regularity well-posedness theory for the zero energy Novikov-Veselov equation
Engin Basakoglu (Birmingham): Smoothing and global attractors for the Hirota-Satsuma system on torus
Alberto Bonicelli (Pavia): Stochastic nonlinear Schrödinger equation, a microlocal and algebraic viewpoint
James Coe (Edinburgh): Quasi-invariance results on the cubic Szegő equation with Gaussian initial data

Thursday, 15 June:

9:30am - 10am     Coffee, tea, pastries and fruits

10am - 11am    Nikolay Tzvetkov (ENS Lyon, France)
  Weak universality results for a class of nonlinear wave equations

11am - 12pm    Tadahiro Oh (The University of Edinburgh, UK)
  Pathwise well-posedness of singular stochastic dispersive PDEs with multiplicative noises

12pm - 1:30pm       Lunch

1:30pm - 2:30pm     Nicola Visciglia (Università Degli Studi di Pisa, Italy)
  Growth of Sobolev norms and quasi-invariance of Gaussian measures along the 1-d periodic NLS flow

2:30pm - 3:30pm     Ruoyuan Liu (The University of Edinburgh, UK)
  Local well-posedness of a quadratic nonlinear Schrödinger equation on the two-dimensional torus

3:30pm  - 4pm     Coffee break

4pm  - 5pm     Guopeng Li (Maxwell Institute, Edinburgh, UK)
  Convergence of the intermediate long wave equation from a statistical perspective

6pm     Dinner at The Outsider

Friday, 16 June:

9am - 10am     Tristan Robert (Université de Lorraine, France)
  Path-wise regularization by noise for some nonlinear dispersive PDEs

10am - 10:30am    Coffee break

10:30am - 11:30am    Joackim Bernier (Nantes Université, France)
  Dynamics of Hamiltonian PDEs in low regularity

11:30am - 12:30pm      Yuzhao Wang (University of Birmingham, UK)
  Gibbs measure for NLS with a trapping potential

12:30pm - 2pm       Lunch