Workshop theme
The overarching purpose of the workshop is to generate new collaborations between researchers working in experimental, computational and analytical aspects of nonlinear dispersive hydrodynamics, randomness and statistical mechanics. In particular, the workshop will focus on the growing field of integrable turbulence, which aims at combining the concepts of randomness and of integrability.
The workshop will be sampled from experimental approaches in optics and hydrodynamics through to theoretical and mathematical questions concerning integrable systems. The main topics will be the statistical description of integrable turbulence, kinetic theory, soliton gases, space-time correlations in integrable and non-integrable lattice systems, thermodynamic properties of random matrix ensembles and nonlinear dispersive systems, the use of inverse scattering transform with random initial data… These problems are of particular interest in the fields of nonlinear optics and of hydrodynamics. The central models discussed in this workshop will be integrable equations such as the one dimensional nonlinear Schrodinger or the Korteweg-de Vries equations. The analysis of non-integrable perturbations induced by high order terms is also a fundamental question.
We expect a balance of researchers from the experimental, computational, and analytical communities, all of whom are committed to considerable time for discussion, with a possibly smaller number of presentations that are designed to address the complementary groups.
More information: https://www.newton.ac.uk/event/hy2w04/
STUOD PI, Prof Holm was invited to present during that event. The details of his talk are provided below:
| Speaker(s) | Darryl Holm Imperial College London |
| Date | 17 October 2022 – 11:30 to 12:00 |
| Venue | INI Seminar Room 1 |
| Session Title | Applying Kelvin’s circulation theorem in climate science |
| Chair | Gennady El |
| Event | [HY2W04] Statistical mechanics, integrability and dispersive hydrodynamics |
| Abstract | The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. It has three parts:
1. Make the distinction between weather and climate. This seminar investigates a stochastic geometric mechanics framework called LA SALT which can formally meet all three parts of the challenge for the problem of climate change, given a deterministic fluid theory derived from the variational principles of geometric mechanics. |
| Slides | The slides from this talk are available here |