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math.AP2022
A first order description of a nonlinear SPDE in the spirit of rough paths
Florian Kunick
We consider a nonlinear stochastic partial differential equation (SPDE) in divergence form where the forcing term is a Gaussian noise, that is white in time and colored in space su…
math.AP2021
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise
Benjamin Gess, Rishabh S. Gvalani, Florian Kunick +1
In micro-fluidics not only does capillarity dominate but also thermal fluctuations become important. On the level of the lubrication approximation, this leads to a quasi-linear fou…