Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

We study the initial value problem for dissipative 2D Quasi-geostrophic equations proving
local existence, global results for small initial data in the super-critical case, decay of L p …

The competition between thermal fluctuations and potential forces governs the stability of
matter in equilibrium, in particular the proliferation and annihilation of topological defects …

Direct evidence for the presence of an inertial energy cascade, the most characteristic
signature of hydromagnetic turbulence (MHD), is observed in the solar wind by the Ulysses …

A weak wave turbulence theory is established for incompressible fluids under rapid rotation
using a helicity decomposition, and the kinetic equations for energy E and helicity H are …

Rotating turbulence is a fundamental phenomenon appearing in several geophysical and
industrial applications. Its study benefited from major advances in the recent years, but also …

The decay of initially three-dimensional homogeneous turbulence in a rotating frame is
experimentally investigated. Turbulence is generated by rapidly towing a grid in a rotating …

The theoretical framework that should be used for describing rotating turbulence,, is the
subject of an active debate. It was shown experimentally, and numerically, that the formalism …

In this article, we prove that data assimilation by feedback nudging can be achieved for the
three-dimensional quasi-geostrophic equation in a simplified scenario using only large …