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# The zero diffusion limit of 2-D Navier-Stokes equations with $L^1$ initial vorticity

• In this paper, we prove the zero diffusion limit of 2-D incompressible Navier- Stokes equations with $L^1(\mathcal R^2)$ initial vorticity is still a weak solution of the corresponding Euler equations.
Mathematics Subject Classification: 35Q30, 35B65, 76D05.

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