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math.PR2024
Rough analysis of two scale systems
Arnaud Debussche, Martina Hofmanová
We address a slow-fast system of coupled three dimensional Navier--Stokes equations where the fast component is perturbed by an additive Brownian noise. By means of the rough path…
math.AP2024
Periodic nonlinear Schrödinger equation with distributional potential and invariant measures
Arnaud Debussche, Antoine Mouzard
In this paper, we continue some investigations on the periodic NLSE started by Lebowitz, Rose and Speer and by Bourgain with the addition of a distributional multiplicative potenti…