TY - JOUR
T1 - Maximal energy isolated vortices in a uniform shear flow
AU - Yong-Hui, Wu
AU - Mu, Mu
N1 - Funding Information:
The author would like to thank G.R. Burton for his useful suggestion. This work is supported by the Natural Science Foundation of China (No. 49455007 and 49775262).
PY - 1999/10
Y1 - 1999/10
N2 - The existence of the isolated vortex on every isovortical surface under the condition that the vorticity anomaly everywhere has the same sign as the external shear flow is obtained. Moveover, the isolated vortex attains the maximal energy on every isovortical surface and therefore is formally stable. The condition that the vorticity anomaly has a positive lower bound, 0min≤q in the case of S>0, which is a very strong restriction to the vorticity anomaly is removed. It is easy to see that the more concentrated upon the center, the greater is S2, while the more narrow it is along the x2 direction, the greater is S1.
AB - The existence of the isolated vortex on every isovortical surface under the condition that the vorticity anomaly everywhere has the same sign as the external shear flow is obtained. Moveover, the isolated vortex attains the maximal energy on every isovortical surface and therefore is formally stable. The condition that the vorticity anomaly has a positive lower bound, 0min≤q in the case of S>0, which is a very strong restriction to the vorticity anomaly is removed. It is easy to see that the more concentrated upon the center, the greater is S2, while the more narrow it is along the x2 direction, the greater is S1.
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U2 - 10.1016/S0362-546X(99)00102-9
DO - 10.1016/S0362-546X(99)00102-9
M3 - Article
AN - SCOPUS:0033212457
SN - 0362-546X
VL - 38
SP - 123
EP - 135
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 1
ER -