TY - JOUR
T1 - Boundary Regularity of Rotating Vortex Patches
AU - Mateu Bennassar, Juan Eugenio
AU - Hmidi, Taoufik
AU - Verdera, Joan
PY - 2013/7/1
Y1 - 2013/7/1
N2 - We show that the boundary of a rotating vortex patch (or V-state, in the terminology of Deem and Zabusky) is C ∞, provided the patch is close to the bifurcation circle in the Lipschitz norm. The rotating patch is also convex if it is close to the bifurcation circle in the C 2 norm. Our proof is based on Burbea's approach to V-states. © 2013 Springer-Verlag Berlin Heidelberg.
AB - We show that the boundary of a rotating vortex patch (or V-state, in the terminology of Deem and Zabusky) is C ∞, provided the patch is close to the bifurcation circle in the Lipschitz norm. The rotating patch is also convex if it is close to the bifurcation circle in the C 2 norm. Our proof is based on Burbea's approach to V-states. © 2013 Springer-Verlag Berlin Heidelberg.
UR - https://www.scopus.com/pages/publications/84877810568
U2 - 10.1007/s00205-013-0618-8
DO - 10.1007/s00205-013-0618-8
M3 - Article
SN - 0003-9527
VL - 209
SP - 171
EP - 208
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
ER -