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math.PR2021★ 18 cited
Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions
Matías G. Delgadino, Rishabh S. Gvalani, Grigorios A. Pavliotis +1
In this article, we study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationshi…
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…