Special Session 64: Blow-ups and dynamics of nonlinear parabolic equations

Smooth nonradial stationary 2d Euler flows with compact support

Antonio J. Fernandez
Universidad Autonoma de Madrid
Spain
Co-Author(s):    Alberto Enciso (Instituto de Ciencias Matem\`aticas, Madrid (Spain)); David Ruiz (Universidad de Granada, Granada (Spain))
Abstract:
In this talk we will show how to construct nonradial classical solutions to the $2d$ incompressible Euler equations. More precisely, for any positive integer $k$, we will see how to construct compactly supported stationary Euler flows of class $C^k(\mathbb{R}^2)$ which are not locally radial.