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Asymptotic behaviour of global vortex rings

机译：Asymptotic behaviour of global vortex rings

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摘要

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.

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