Wednesday, May 21, 2025 - 16:00 in V2-210
Well-posedness of rough 2D Euler equation with bounded vorticity
A talk in the SPDEvent series by
Francesco Triggiano from Scuola Normale Superiore Pisa
| Abstract: |
We consider the 2D Euler equation with bounded initial vorticity and perturbed by rough transport noise. We show that a unique solution exists, which coincides with the starting condition advected by the Lagrangian flow. More-
over, we prove that the solution map is continuous with respect to the initial vorticity, the advecting vector fields and the rough perturbation. As an immediate corollary, we obtain a Wong-Zakai result for fractional Brownian driving paths.
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