We will discuss a special family of 2D incompressible inviscid fluid flows in the form of logarithmic spiral vortex sheets. Such flows are determined by a vorticity distribution of a curve R^2, and they are notoriously hard to study analytically. In the talk we will discuss several results regarding logarithmic spiral vortex sheets: well-posedness of the spirals as solutions to the Euler equations (despite some recent evidence for the contrary), existence of nonsymmetric spirals, and linear instability of the symmetric spirals

Zoom meeting: Link