First construction of smooth clustered collapsing helical vortex solutions to 3D Euler equations with compactly supported cross-sectional vorticity in whole space.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
In the odd symmetric half-plane setting, every compactly supported nonnegative initial vorticity admits an arbitrarily small smooth nonnegative perturbation that forces linear-in-time filamentation for the 2D Euler flow.
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Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations
First construction of smooth clustered collapsing helical vortex solutions to 3D Euler equations with compactly supported cross-sectional vorticity in whole space.
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Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane
In the odd symmetric half-plane setting, every compactly supported nonnegative initial vorticity admits an arbitrarily small smooth nonnegative perturbation that forces linear-in-time filamentation for the 2D Euler flow.