7 citations · 9 across the 4 of their papers we have counts for
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Formation of clusters and coarsening in weakly interacting diffusions
Nicolai Gerber, Rishabh S. Gvalani, Martin Hairer +2
This paper studies the clustering behavior of weakly interacting diffusions under the influence of sufficiently localized attractive interaction potentials on the one-dimensional t…
Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions
Alexander Mielke, André Schlichting, Artur Stephan
We provide a derivation of the one-dimensional fourth-order DLSS equation based on an interpretation as a chemical reaction network. We consider the rate equation on the discretize…
Existence and Non-existence for Continuous Generalized Exchange-Driven Growth model
Chun Yin Lam, André Schlichting
The continuous generalized exchange-driven growth model (CGEDG) is a coagulation-fragmentation equation that describes the evolution of the macroscopic cluster size distribution in…
Convergence of a Stochastic Particle System to the Continuous Generalized Exchange-Driven Growth Model
Chun Yin Lam, André Schlichting
The continuous generalized exchange-driven growth model (CGEDG) is a system of integro-differential equations describing the evolution of cluster mass under mass exchange. The rate…