A stability theorem for convex monotone semigroups derived from generator convergence in mixed topology via a comparison principle on the Lipschitz set.
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Stochastic transport by general Gaussian noise yields a deterministic mean equation with reduced small-time dissipation and enhanced large-time diffusion compared to delta-correlated noise when the driving noise has higher regularity.
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Stochastic transport by Gaussian noise
Stochastic transport by general Gaussian noise yields a deterministic mean equation with reduced small-time dissipation and enhanced large-time diffusion compared to delta-correlated noise when the driving noise has higher regularity.