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Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

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arxiv 2012.08709 v1 pith:BNMVDULZ submitted 2020-12-16 math.AP

Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

Javier G\'omez-Serrano , Jaemin Park , Jia Shi , Yao Yao This is my paper
classification math.AP
keywords uniformly-rotatingvortexaccomplishedamplitudebifurcatingcirclesconstantconstruct
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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.

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