Abstract
In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of traveling vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal intensities but opposite signs. The results are obtained by using an improved vorticity method.
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Acknowledgements
The authors would like to thank the anonymous referee for his/her helpful comments. This work was supported by NNSF of China (Grant 11831009) and Chinese Academy of Sciences (No. QYZDJ-SSW-SYS021).
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Communicated by A. Malchiod.
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Cao, D., Lai, S. & Zhan, W. Traveling vortex pairs for 2D incompressible Euler equations. Calc. Var. 60, 190 (2021). https://doi.org/10.1007/s00526-021-02068-5
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DOI: https://doi.org/10.1007/s00526-021-02068-5