Speaker: Ricardo Grande Izquierdo Abstract: In this talk, we will propose a linear SPDE that serves as a toy model for thetransfer of energy in fully developed fluid turbulence. In order to dissipate the energythat is constantly injected into the system,… Read moreLinear model of turbulent cascades and fractional fields

Speaker: Basile Gallet Abstract: Decades of investigation of the Rayleigh-Bénard (RB) thermal convection setup indicate that the heat transport is strongly restricted by boundary layers near the hot and cold solid plates. This prevents the unambiguous observation of the ‘ultimate’… Read moreRadiatively driven convection: towards the ultimate scaling regime and beyond

Speaker: Michal Shavit Abstract: Strongly dispersive waves in geophysical fluid dynamics occur on scales fromcentimetres to thousands of kilometres and contribute in an essential way to the long-term nonlinear dynamics of the climate system.  Examples include internal inertia–gravitywaves and Rossby waves,… Read moreThe role of sign indefinite invariants in shaping turbulent cascades.

Speaker: Nikolay Tzvetkov Abstract: We will discuss the nonlinear Schrödinger equation with data distributedaccording to gaussian fields. These fields are invariant under the free evolution and thequestion is how much the nonlinear interaction affects the invariance property. We willpresent a… Read moreEvolution of gaussian fields by the flow of the nonlinear Schrödinger equation

Courant PIs Workshop 2022 Abstract: We introduce the Wick NLS and study its wave kinetic theory in both the homogeneous setting and the inhomogeneous setting. The Wick NLS can be regarded as a renormalization of the NLS by eliminating all… Read moreHui Zhu – “Inhomogeneous turbulence for Wick NLS”

Xiao Ma will speak at the Courant PIs Workshop on Tuesday, November 29th at 4:45pm “Derivation of wave kinetic equations for three wave and four wave models” Wave kinetic equations (WKE) describe the statistical behavior of turbulence in wave equations…. Read more“Derivation of wave kinetic equations for three wave and four wave models”

Courant PIs Workshop 2022 Abstract: One way to better understand fluid turbulence is to explore the appearance of properties observed experimentally in simple models that aim to describe the motion of such fluids. In this talk, I will explain how… Read moreDaniel Eceizabarrena – “Multifractality and intermittency in the evolution of vortex filaments”

Courant PIs Workshop 2022 Abstract: Several recent studies have shown that dispersive wave system, in presence of a weak (and stationary) random mean flow (of much smaller magnitude than the group velocity), may show a scattering behavior. Starting from a… Read moreSamuel Boury – “Frequency Shift/No-Shift in Wave-Mean Flow Interaction”

Courant PIs Workshop 2022 Abstract: We discuss the global in time existence, uniqueness and stability of mild solutions near vacuum for the 4-wave inhomogeneous kinetic wave equation, for Laplacian dispersion relation in dimension d=2,3. Moreover, for non-negative initial data, the… Read moreIoakeim Ampatzoglou – “Global well-posedness of the inhomogeneous kinetic wave equation near vacuum”

Leduque Thibault will speak at the Courant PIs Workshop on Tuesday, November 29th at 2:15pm “Experimental investigation of the transition  shallow to deep water in 2D experiments” I will present our experiments on wave turbulence in shallow water in a… Read more“Experimental investigation of the transition  shallow to deep water in 2D experiments”