Séminaire ACSIOM :

Le 06 novembre 2018 à 11:30 - salle 109 (1er étage)

Présentée par Garcia Claudia - University of Granada

Non uniform rotating solutions in the Euler equations

We explore some special ordered structures in turbulent flows. In particular, a systematic and relevant methodology is proposed to construct non trivial and non radial rotating vortices with non necessarily uniform densities and with different m--fold symmetries, m>=1. In particular, a complete study is provided for the truncated quadratic density (A|x|^2+B)1D(x), with D the unit disc. We exhibit different behaviors with respect to the coefficients A and B describing the rarefaction of bifurcating curves. This is a joint work with Taoufik Hmidi and Juan Soler.