A residual set of L² divergence-free initial data exists for which the 2D Euler equations admit unique global weak solutions that conserve energy and are recovered from Navier-Stokes vanishing-viscosity limits.
Lopes Filho, and Helena J
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The 2D Euler equations are well-posed for generic initial data in $L^2$
A residual set of L² divergence-free initial data exists for which the 2D Euler equations admit unique global weak solutions that conserve energy and are recovered from Navier-Stokes vanishing-viscosity limits.