Javier G'omez-Serrano, Jaemin Park, Jia Shi, Yao Yao
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Remarks on stationary and uniformly rotating vortex sheets: flexibility results
In this paper, we construct new, uniformly rotating solutions of the vortex sheet equation bifurcating from circles with constant vorticity amplitude. The proof is accomplished via a Lyapunov–Schmidt reduction and a second-order expansion of the reduced system. This article is part of the theme issue ‘Mathematical problems in physical fluid dynamics (part 2)’.
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