WIAS Visiting Researcher Seminar: Colloquium “Nonlinear dispersive equations, solitary waves and nois”（9/2）
Details
Nonlinear dispersive waves in general, and solitons in particular, are “universal” objects in physics: they describe the propagation of hydrodynamic waves as well as localised waves in plasma physics, the propagation of light in optical fibres or energy transfer phenomena in molecular systems, vortices in Bose-Einstein condensates, and so on. In all these situations, the formation of coherent and stable spatial structures has been observed experimentally and can be explained by the theory of integrable non-linear equations. However, none of these systems is exactly described by an integrable equation; these models are asymptotic models. Moreover, when microscopic phenomena come into play, the influence of temperature may not be negligible, which generally gives rise to random perturbations of the macroscopic model.The aim of this general audience seminar will be to introduce some of these dispersive models in different contexts, to explain how to take these random perturbations into account and to give some results concerning the influence of these perturbations on the dynamics of these dispersive waves.
Speaker
DE BOUARD, Anne (Senior Scientist, Research Director, CNRS and École Polytechnique)
Date & Time
September 2, 2025 (Tue.) Starting Time/TBA
Venue
Building #63 (Room number/TBA), Nishi-Waseda Campus, Waseda University
Language
English
Prospected Audience
Undergraduate, Graduate, Researchers, Faculty members, general audience
Organizer
Department of Mathematics, School of Fundamental Science and Engineering, Waseda University
Co-Organizer
Waseda University Mathematics and Physics Unit
Waseda Institute for Advanced Studies (WIAS)
