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

DOI10.1007/s00220-021-04146-3zbMath1471.76021arXiv2012.04548OpenAlexW3113337706MaRDI QIDQ2050078

Yao Yao, Jaemin Park, Jia Shi, Javier Gómez-Serrano

Publication date: 30 August 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04548

zbMATH Keywords

critical pointdesingularizationradial symmetryconstant vorticitynegative angular velocitypositive vorticity

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) General theory of rotating fluids (76U05) Euler equations (35Q31)

Related Items

Existence of stationary vortex sheets for the 2D incompressible Euler equation ⋮ Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation ⋮ Linear instability of symmetric logarithmic spiral vortex sheets ⋮ Traveling waves near Couette flow for the 2D Euler equation ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time

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