most citedStructurally Stable Singularities for a Nonlinear Wave Equation

13 citations · 13 across the 2 of their papers we have counts for

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2 papers

math.AP2026

Clustered vortex helices with compactly supported cross-sectional vorticity in the 3D Euler equations

Averkios Averkiou, Monica Musso, Fang Yu

We consider the three-dimensional incompressible Euler equations for helical flows without swirl. By adapting gluing techniques, we construct the first smooth multi-vortex solution…

math.AP2015★ 13 cited

Structurally Stable Singularities for a Nonlinear Wave Equation

Alberto Bressan, Tao Huang, Fang Yu

For the nonlinear wave equation , it is well known that solutions can develop singularities in finite time. For an open dense set of initial…