TY - JOUR
T1 - On the V-states for the Generalized Quasi-Geostrophic Equations
AU - Hassainia, Zineb
AU - Hmidi, Taoufik
N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - We prove the existence of the V-states for the generalized inviscid SQG equations with $${\alpha \in ]0, 1[.}$$α∈]0,1[. These structures are special rotating simply connected patches with m-fold symmetry bifurcating from the trivial solution at some explicit values of the angular velocity. This produces, inter alia, an infinite family of non stationary global solutions with uniqueness.
AB - We prove the existence of the V-states for the generalized inviscid SQG equations with $${\alpha \in ]0, 1[.}$$α∈]0,1[. These structures are special rotating simply connected patches with m-fold symmetry bifurcating from the trivial solution at some explicit values of the angular velocity. This produces, inter alia, an infinite family of non stationary global solutions with uniqueness.
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U2 - 10.1007/s00220-015-2300-5
DO - 10.1007/s00220-015-2300-5
M3 - Article
AN - SCOPUS:84939979067
SN - 0010-3616
VL - 337
SP - 321
EP - 377
JO - Communications In Mathematical Physics
JF - Communications In Mathematical Physics
IS - 1
ER -