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In this paper, the two dimensional Euler flow under a simple symmetrycondition with hyperbolic structure in a unit square$D=\{(x_1,x_2):0<x_1+x_2<\sqrt{2},0<-x_1+x_2<\sqrt{2}\}$ is considered. It isshown that the Lipschitz estimate of the vorticity on the boundary is at mostsingle exponential growth near the stagnation point.

Remark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a corner