Relative equilibria with holes for the surface quasi-geostrophic equations

Abstract

We study the existence of doubly connected rotating patches for the inviscid surface quasi- geostrophic equation left open in \cite{HHH}. By using the approach proposed by \cite{CCGS} we also prove that close to the annulus the boundaries are actually analytic curves.

References in corpus (2)

• Finite time singularity formation for the modified SQG patch equation
• Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces