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 - 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
SN - 0003-9527
VL - 238
SP - 929
EP - 1085
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 2
ER -