NON UNIFORM ROTATING VORTICES AND PERIODIC ORBITS FOR THE TWO-DIMENSIONAL EULER EQUATIONS
Résumé
This paper concerns the study of 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.
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