# American Institute of Mathematical Sciences

July  1999, 5(3): 631-638. doi: 10.3934/dcds.1999.5.631

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

 1 Department of Mathematics, Nanjing University, Nanjing 210093, China 2 Institute of Mathematics, Chinese Academy of Sciences, Beijing 10080

Received  September 1998 Revised  December 1998 Published  May 1999

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.
Citation: Guangrong Wu, Ping Zhang. The zero diffusion limit of 2-D Navier-Stokes equations with $L^1$ initial vorticity. Discrete & Continuous Dynamical Systems - A, 1999, 5 (3) : 631-638. doi: 10.3934/dcds.1999.5.631
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