5 papers · 1 filter
Anomalous Regularization in Kraichnan's Passive Scalar Model
Lucio Galeati, Francesco Grotto, Mario Maurelli
We consider the advection of a passive scalar by a divergence free random Gaussian field, white in time and Hölder regular in space (rough Kraichnan's model), a well established s…
Refined uniqueness results for 2D Euler and gSQG with rough Kraichnan noise
Marco Bagnara, Lucio Galeati
We prove strong well-posedness results for the stochastic 2D Euler equations in vorticity form and generalized SQG equations, with initial data and driven by a spatially roug…
Quantitative Propagation of Chaos for Singular Interacting Particle Systems Driven by Fractional Brownian Motion
Lucio Galeati, Khoa Lê, Avi Mayorcas
We consider interacting systems particle driven by i.i.d. fractional Brownian motions, subject to irregular, possibly distributional, pairwise interactions. We show propagation of…
Regularization by rough Kraichnan noise for the generalised SQG equations
Marco Bagnara, Lucio Galeati, Mario Maurelli
We consider the generalised Surface Quasi-Geostrophic (gSQG) equations in with parameter , an active scalar model interpolating between SQG () and…
Weak well-posedness by transport noise for a class of 2D fluid dynamics equations
Lucio Galeati, Dejun Luo
A fundamental open problem in fluid dynamics is whether solutions to D Euler equations with -valued vorticity are unique, for some . A relate…