Much progress has been made on two-dimensional turbulence, these last two decades, but
still, a number of fundamental questions remain unanswered. The objective of the present …

The techniques of quantum field theory on a lattice are used to examine the diffusion and
reaction processes of particles in a solid, such as vacancies or interstitials, or chemical …

A quantitative experimental study of freely decaying quasi-two-dimensional turbulence is
presented. The flow is produced in a thin layer of electrolyte by using a steady, spatially …

We investigate the out of equilibrium dynamics of the two-dimensional XY model when
cooled across the Berezinskii–Kosterlitz–Thouless (BKT) phase transition using different …

We report experimental results obtained on freely decaying two-dimensional turbulence.
The flow is produced in a thin stratified layer of electrolyte, using an electromagnetic forcing …

We study a damped stochastic non-linear Schrödinger (NLS) equation driven by an additive
noise. It is white in time and smooth in space. Using a coupling method, we establish …

We establish a general criterion which ensures exponential mixing of parabolic stochastic
partial differential equations (SPDE) driven by a non additive noise which is white in time …

We survey the role of coherent vortices in two-dimensional turbulence, including formation
mechanisms, implications for classical similarity and inertial range theories, and …

We study a stochastic Complex Ginzburg–Landau (CGL) equation driven by a smooth noise
in space and we establish exponential convergence of the Markov transition semi-group …

Simulations of decaying two-dimensional turbulence suggest that the one-point vorticity
density has the self-similar form implied by Batchelor's (1969) similarity hypothesis, except in …