Tuesday, May 28, 2024 - 11:50 in ZiF, plenary hall
Uniqueness by Kraichnan transport noise for the gSQG equations
A talk in the SPDEvent series by
Marco Bagnara from Scuola Normale Superiore Pisa
| Abstract: |
We consider the gSQG equations in $\mathbb{R}^2$, an active scalar model interpolating between the SQG model and the 2D Euler equations in vorticity form. We show that the addition of a rough Stratonovich transport noise of Kraichnan type regularizes the equations providing pathwise uniqueness for initial data in $L^1\cap L^p$, for $p\in[2,\infty]$ and suitable parameters of the noise. The result is not known in the deterministic setting.
The presentation is based on a joint work with Lucio Galeati and Mario Maurelli.
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