7 citations · 9 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
On a Class of Nonlocal Continuity Equations on Graphs
A. Esposito, F. S. Patacchini, A. Schlichting
Motivated by applications in data science, we study partial differential equations on graphs. By a classical fixed-point argument, we show existence and uniqueness of solutions to…
On a novel gradient flow structure for the aggregation equation
A. Esposito, R. S. Gvalani, A. Schlichting +1
The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow for the nonlocal interaction ene…