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03/01/2023
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
The Dean-Kawasaki equation - one of the most fundamental SPDEs of fluctu...
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03/31/2022
Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
Phase-field models such as the Allen-Cahn equation may give rise to the ...
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09/14/2021
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
The Dean-Kawasaki equation - a strongly singular SPDE - is a basic equat...
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11/11/2019
The waiting time phenomenon in spatially discretized porous medium and thin film equations
Various degenerate diffusion equations exhibit a waiting time phenomenon...
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08/06/2019
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems
We derive optimal-order homogenization rates for random nonlinear ellipt...
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06/28/2019