Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner
Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner
Abstract We consider the 2D incompressible Euler equation on a corner domain Ω with angle νπ with <?CDATA $\frac{1}{2}< \nu < 1$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mfrac> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:mfrac> <mml:mo><</mml:mo> <mml:mi>ν</mml:mi> <mml:mo><</mml:mo> <mml:mn>1</mml:mn> </mml:math> . We prove that if the initial vorticity ω 0 ∈ …