Derives the surface Dean-Kawasaki equation from Langevin dynamics on hypersurfaces in Monge gauge, including extensions to evolving surfaces and a fluctuation-preserving finite-volume scheme.
On the accuracy of finite-volume schemes for fluctuating hydrodynamics.Communications in Applied Mathematics and Computational Science, 5(2):149–197
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Surface Dean--Kawasaki equations
Derives the surface Dean-Kawasaki equation from Langevin dynamics on hypersurfaces in Monge gauge, including extensions to evolving surfaces and a fluctuation-preserving finite-volume scheme.