The fluctuation process of the stochastic point vortex model with common noise converges in distribution to the unique strong solution of a linear fluctuation SPDE with multiplicative transport noise and a conditionally Gaussian additive noise.
Topics in propagation of chaos
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The fluctuation behaviour of the stochastic point vortex model with common noise
The fluctuation process of the stochastic point vortex model with common noise converges in distribution to the unique strong solution of a linear fluctuation SPDE with multiplicative transport noise and a conditionally Gaussian additive noise.