# Research interests

My research focus on non-linear and statistical physics, mostly within the framework of fluid mechanics. In particular, my current research interests lie in the field of magnetohydrodynamics, i.e. the study of the dynamics of electrically conducting fluids. I combine laboratory experiments, theory and numerical simulations to study various phenomena such as flow instabilities, magnetic field generation, dynamical systems, chaos, pipe flows and turbulence. Below are some typical examples of my current interests:

## Dynamo action

## Electromagnetically driven flows

## Chaos and nonlinear dynamics

## MRI

Magnetism of planets, stars and galaxies is due to
the self generation of a magnetic field by the
turbulent motion of an electrically conducting
fluid. But what are exactly the mechanisms of the field
generation? What determines the complex dynamics of the
field, like periodic oscillations or chaotic field
reversals and what is the role of turbulence? etc
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Plasmas and liquid metals can be put in motion by
Lorentz forces, rather than driven by pressure
gradients or mechanical impellers. This new situation
can lead to very complex behaviors and rise fundamental
questions. For instance, an electromagnetic force due
to a travelling magnetic field can produce magnetic
field expulsion and cause a stalling of the flow,
similarly to an asynchronous motor. The mechanism for
such a destabilization is not fully understood, but
becomes of primary interest in many industrial
situations. A similar mechanism could be involved in the oceanic motions of Jovian moons.
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In several physical problems, a modelization using a
few coupled differential equations is very useful to
understand the non-linear dynamics of complex
systems. I am interested in fluids dynamics situations
in which a low dimensional behavior is observed,
despite the apparently large number of degrees of
freedom. It is still unclear why and how some very
complex and turbulent systems can be correctly
reproduced by extremely simple models.
* > more details here...*

The MagnetoRotational Instability (MRI) is a fluid
instability arising in MHD flows when the angular
velocity decreases outward and a magnetic field is
applied. It is currently the best candidate to explain
angular momentum transport in accretion disks around
stars and black holes. Despite its simplicity, several
theoretical aspects of this instability are still
poorly known, like for instance the mechanisms of
saturation of the MRI.
* > more details here...*