Talk page

Title:
On zonal steady solutions to the 2d Euler equations

Speaker:
Marc Nualart

Abstract:
We comment on recent developments of the long-time dynamics and stationary structures of solutions to the incompressible Euler equations on planar domains. Afterwards, we focus on the incompressible Euler equations on the rotating unit sphere and we study stationary solutions that are near zonal flows. In particular, we construct a new family of non-zonal steady solutions arbitrarily close in analytic regularity to the second degree zonal Rossby-Haurwitz stream function, for any given rotation of the sphere.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=5317

Workshop:
Simons- Workshop: Small scale dynamics in fluid motion