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

Guangrong Wu; Ping Zhang

doi:10.3934/dcds.1999.5.631

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1999, Volume 5, Issue 3: 631-638. Doi: 10.3934/dcds.1999.5.631

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

Guangrong Wu¹ and
Ping Zhang^2,

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

Received: August 31, 1998

Revised: November 30, 1998

Published: June 1999

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Abstract

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.

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Mathematics Subject Classification: 35Q30, 35B65, 76D05.

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