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20222026
most citedWeak error analysis for a nonlinear SPDE approximation of the Dean-Kawasaki equation

8 citations · 12 across the 11 of their papers we have counts for

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math.PR2026

On the role of positivity preservation for high order approximations of the Dean--Kawasaki equation

Ana Damnjanović, Ana Djurdjevac, Nicolas Perkowski

We study a spectral regularization of the Dean--Kawasaki equation and quantify how the failure of positivity preservation affects its weak approximation of the empirical measure of…

math.PR2026

Surface Dean--Kawasaki equations

John Bell, Ana Djurdjevac, Nicolas Perkowski

We consider stochastic particle dynamics on hypersurfaces represented in Monge gauge parametrization. Starting from the underlying Langevin system, we derive the surface Dean-Kawas…