Author:
Cao Daomin,Wan Jie,Wang Guodong,Zhan Weicheng
Abstract
Abstract
In this paper, we are concerned with nonlinear desingularization of steady vortex rings in
R
3
with a general nonlinearity f. Using the improved vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in the whole space. The requirements on f are very general, and it may not satisfy the Ambrosetti–Rabinowitz condition. Some qualitative and asymptotic properties are also established.
Funder
China Postdoctoral Science Foundation Grant
Beijing Institute of Technology Research Fund Program for Young Scholars
Chinese Academy of Sciences
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
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