|DATE||July 11 (Mon), 2022|
|TITLE||2D Euler equations with symmetries|
We consider the two-dimensional Euler equations which model the dynamics of incompressible and inviscid fluids. The equations admit a large class of symmetries. We explore the solutions which are invariant under a group of symmetries. In particular, we consider scale invariant and m-fold rotationally symmetric vorticities, and show how they interact with singular radial vorticities.