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Cavity collapse and kinetic energy concentration in three-dimensional free-boundary Euler flow

Luo, Tao et al.
arXiv (All) · Papers
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analysis-of-pdes
We construct smooth axisymmetric solutions of the three-dimensional incompressible free-boundary Euler equations in bounded domains for which a tubular cavity collapses onto a circle at a finite time $T$. The velocity has a single-valued potential, and the construction applies without surface tensio
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