Uniqueness for the 2-D Euler equations on domains with corners Christophe LacaveEvelyne MiotChao Wang 35Q35 76B03two dimensional incompressible flowuniqueness of weak solutiondomains with corners We prove uniqueness of the solution of the Euler equations with bounded vorticity for bounded simply connected planar domains with corners forming acute angles. Our strategy consists in mapping such domains on the unit disk via a biholomorphism. We then establish $\log$-Lipschitz regularity for the resulting push-forward of the velocity field, which leads to uniqueness thanks to a Gronwall estimate involving the Lagrangian trajectories on the unit disk. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5402 10.1512/iumj.2014.63.5402 en Indiana Univ. Math. J. 63 (2014) 1725 - 1756 state-of-the-art mathematics http://iumj.org/access/