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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