| Abstract: |
| This talk is concerned with the existence of doubly connected V-states (i.e. rotating patches) close to an annulus for the active scalar equations with completely monotone kernels. This provides a general way to unify various results on this topic related to geophysical flows. As some applications, the existence of doubly connected V-states for the gSQG equation and QGSW equation on radial domains are obtained, which are completely new. |
|