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- W2945014727 abstract "In this paper, we are concerned with nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler fluids. We focus on the case when the vorticity function has a simple discontinuity, which corresponding to a jump in vorticity at the boundary of the cross-section of the vortex ring. Using the vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in several kinds of domains. The precise localization of the asymptotic singular vortex filament is proved to depend on the circulation and the velocity at far fields of the vortex ring. Some qualitative and asymptotic properties are also established. Comparing with known results, our work actually enriches and advances the study on this problem." @default.
- W2945014727 created "2019-05-29" @default.
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- W2945014727 date "2019-05-24" @default.
- W2945014727 modified "2023-09-23" @default.
- W2945014727 title "Desingularization of vortex rings in 3 dimensional Euler flows" @default.
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- W2945014727 doi "https://doi.org/10.48550/arxiv.1905.10342" @default.
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