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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2020

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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Dates et versions

hal-01872557 , version 1 (12-09-2018)

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Citer

Claudia Garcia, Taoufik Hmidi, Juan Soler. NON UNIFORM ROTATING VORTICES AND PERIODIC ORBITS FOR THE TWO-DIMENSIONAL EULER EQUATIONS. Archive for Rational Mechanics and Analysis, 2020, 238 (2), pp.929-1085. ⟨10.1007/s00205-020-01561-z⟩. ⟨hal-01872557⟩
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