Speaker: Anna Mazzucato Abstract: Stirring and mixing in fluids, specifically incompressible fluids, have importantconsequences on many physical and biological processes, from dispersal of pollutants totransport of nutrients. From a mathematical point of view, mixing can be studied indifferent contexts, from… Read moreMixing in fluids: irregular transport, enhanced dissipation, and applications

Speaker: Mathieu Gibert Abstract: Quantum vortices are a core element of superfluid dynamics and elusivelyhold the keys to our understanding of energy dissipation in these systems. We show thatwe can visualize these vortices in the canonical and higher-symmetry case of… Read moreDirect visualization of the quantum vortex lattice structure, oscillations, and<br>destabilization in rotating 4He

Speaker: Guillaume Ricard Abstract: Wave turbulence is a phenomenon in which many weakly nonlinear wavesinteract with each other. The theory of weak turbulence describes this phenomenon inmany domains in physics. It is however essential to know the experimental range ofvalidity… Read moreUnidimensional surface wave turbulence, transition to a shock wave regime,<br>intermittency and Anderson localization

Speaker: Yu Deng Abstract: We talk about recent works with Zaher Hani (Michigan), in which we justify thepredictions of wave turbulence theory, including derivation of wave kinetic equation(WKE), on arbitrarily long time intervals that cover the full lifespan of the… Read moreLong time justification of wave turbulence theory

Speaker: Nicolas Lanchon Abstract: The small-scale oceanic dynamics has now long been proposed to result fromnon-linear processes involving internal gravity waves. Several models have been putforward to describe this dynamic, a most promising one being the weak turbulencetheory (WTT). This… Read moreEnergy spectra of non-local internal gravity wave turbulence

Speaker: Fabio Pusateri Abstract: We will discuss some recent results on the long-time regularity of solutions ofthe water waves equations both in the Euclidean space and on tori, including ongoingwork, joint with Yu Deng and Alexandru Ionescu, on random solutions… Read moreDeterministic and random long-time regularity results for water waves.

Speaker: Vladimir Rosenhaus Abstract: Wave turbulence is a ubiquitous phenomenon, having been studied andobserved for half a century. An example are waves on the surface of the ocean, driven bywind. For small waves, the wave turbulence is weak; it can… Read moreWave turbulence beyond weak nonlinearity

Speaker: Vincent Labarre Abstract: Internal gravity waves propagating in stratified flows are an importantcomponent of geophysical and astrophysical systems, encompassing a wide range ofscales. In the weakly nonlinear regime, these waves interact through nonlinear resonanttriadic interactions, leading to a mixing… Read moreKinetic equation of weakly nonlinear internal gravity waves: Theory and Numerics

Speaker: Yan Guo Abstract: Motivated by the PDE study of a plasma in tokamak, we establish the globalstability for the Vlasov-Maxwell-Landau system in the presence of a perfect conductingboundary with specular reflection. This is a joint work with Hongjie Dong… Read moreStability of Relativistic Vlasov-Maxwell-Landau system in Bounded Domain

Speaker: Tristan J. Leger Abstract: In this talk I will start by motivating the study of the cubic NLS equation withharmonic potential:  several physical situtations where it arises will be presented, puttingspecial emphasis on turbulent phenomena. I will then present (old… Read moreOn the cubic NLS equation with a trapping potential