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Nonuniqueness of Solutions to 2D Incompressible Euler Equations with Unbounded Vorticity

Choi, Hyungjun
arXiv (All) · Papers
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35q31analysis-of-pdes
We construct two distinct solutions of the two-dimensional incompressible Euler equation with the same initial vorticity in $\bigcap_{1\le p<\infty}L^p(\mathbb R^2)$. The vorticities are compactly supported in space and have mean zero, so the corresponding velocities have finite energy. The nonuniqu
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