| Abstract: |
| We present a non-uniqueness result for the forced SQG equation in supercritical Sobolev spaces. A key step is the construction of smooth, compactly supported vortices that exhibit nonlinear instability. Moreover, we extend this approach to the forced 2D Navier-Stokes and dissipative SQG equations. This is joint work with A. Castro, D. Faraco and F. Mengual. |
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