Spiral vortex sheets and 2d Euler equation

In my talk, I will introduce Prandtl's and Kaden's spirals. Prandtl's spirals are weak solutions to the 2d Euler equation and this is a result by T. Cieslak, P. Kokocki and W.S. Ozanski. We will check whether Kaden's spirals are solutions to the 2d Euler equation. Also, the idea of double spiral will be explored. The presentation is based on the joint work with Tomasz Cieślak.