ATMOSPHERE JET DYNAMICS

a) Kinetic theory of zonal jet dynamics

b) Rare transitions for zonal jet dynamics

Some of our recent researches on zonal jets (the ones related to equilibrium and kinetic theory) have been summarized in two chapter of a book entitled "Zonal Flows", edited by Boris Galperin, and to be published by Cambridge University Press. This books gathers an international team of specialists of all aspects of zonal jets: observations, numerical, and theoretical approaches, for Earth atmosphere, ocean, and Jovian zonal jets. These two chapters can be found here:

F. BOUCHET, and A. VENAILLE, Zonal flows as statistical equilibria, HAL, [.pdf]

F. BOUCHET, C. NARDINI AND T. TANGARIFE, Kinetic theory and quasilinear theories of jet dynamics, HAL, [.pdf]

Kinetic theory of zonal
jet dynamics

We have engaged in a series of works aimed at proving the validity of a kinetic theory approach to zonal jet dynamics in the inertial limit with a time scale separation between inertial dynamics, on one hand, and forcing and dissipation, on the other hand. This very difficult mathematical challenge is only partially completed. It started with preliminary theoretical works on the inviscid relaxation of the 2D Euler equations (.pdf). The main results are the proper definition of the inertial limit, the proofs of self-consistency for the kinetic approach for quasi-geostrophic dynamics (.pdf), the discussion of ergodicity for the stochastic averaging approach (see chapter 5.3.3. of T. Tangarife PhD manuscript, .pdf) and the description of Reynolds stress fluctuations and Reynolds stress large deviations T. Tangarife PhD manuscript, (.pdf).

Please
see also some statistical mechanics aspects
of kinetic
theory.

Some
aspects of the kinetic theory of zonal jet
dynamics are covered in the lectures
given at Leuven's university,
others in the seminar **Large deviation theory for
atmosphere jets** (Seminar
given during the Workshop
on Instantons and Extreme Events in Turbulence
and Dynamical Systems, held at Rio de
Janeiro in December 2015 [movie] [slides]
)

Rare transitions for zonal
jet dynamics

Jupiter
has experienced in the past, the sudden disappearance of
one of its zonal jets. What is the probability of such a
sudden climate change for Jupiter's troposphere? Are
similar events relevant for Earth's climate. What are
the scientific approach to such fascinating events? You
can learn more following the abrupt
climate change link, or reading some preliminary
theoretical development in
T.
Tangarife PhD manuscript,
(.pdf).,
or watching the seminar "Large deviation theory for
atmosphere jets" below. This is also related to the large
deviation theory and rare events link.

**Large deviation theory for
atmosphere jets:** Seminar
given during the Workshop
on Instantons and Extreme Events in Turbulence
and Dynamical Systems, held at Rio de
Janeiro in December 2015 [movie] [slides]