TY - JOUR

T1 - Non uniform Rotating Vortices and Periodic Orbits for the Two-Dimensional Euler Equations

AU - García, Claudia

AU - Hmidi, Taoufik

AU - Soler, Juan

N1 - Funding Information:
We are grateful to the anonymous referees for their valuable comments. This work has been partially supported by the MINECO-Feder (Spain) research Grant Number RTI2018-098850-B-I00 (C.G. T.H & J.S), the Junta de Andalucía (Spain) Project PY18-RT-2422 & A-FQM-311-UGR18 (C.G. & J.S.), the MECD (Spain) research Grant FPU15/04094 (C.G.) and the ERC Project FAnFArE No. 63751
Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - 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.

AB - 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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U2 - 10.1007/s00205-020-01561-z

DO - 10.1007/s00205-020-01561-z

M3 - Article

AN - SCOPUS:85088867302

VL - 238

SP - 929

EP - 1085

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 2

ER -