论文题目：Regularization of point vortices for the Euler equation in dimension two

作者：Cao Daomin, Liu Zhongyuan (Institute of Applied Mathematics, AMSS,Chinese Academy of Sciences)and Wei Juncheng (Chinese University of Hong Kong) 

摘要：In this paper, we construct stationary classical solutions of the incompressible Euler equation approximating singular stationary solutions of this equation. This procedure is carried out by constructing solutions to the related nonlinear elliptic problems. We showed that if $\Omega$ is simply-connected smooth domain, then for any given non-degenerate critical point of Kirchhoff-Routh function with the same strength $\kappa>0$, there is a stationary classical solution approximating stationary $m$ points vortex solution of incompressible Euler equations with vorticity $m\kappa$.

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