29 citations · 31 across the 6 of their papers we have counts for
6 papers
Well-posedness and mean-field limit of discontinuous weighted dynamics via the relative entropy method
Immanuel Ben Porat, José A. Carrillo, Alexandra Holzinger
We consider deterministic particle dynamics with time evolving weights and their associated Kolmogorov equation and mean-field equation. We prove existence and unique- ness for the…
Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity
José Antonio Carrillo, Shuchen Guo, Alexandra Holzinger
We derive a class of multi-species aggregation-diffusion systems from stochastic interacting particle systems via relative entropy method with quantitative bounds. We show an algeb…
Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime
Li Chen, Alexandra Holzinger, Ansgar Jüngel
A central limit theorem is shown for moderately interacting particles in the whole space. The interaction potential approximates singular attractive or repulsive potentials of sub-…
Quantitative convergence in relative entropy for a moderately interacting particle system on
Li Chen, Alexandra Holzinger, Xiaokai Huo
This article shows how to combine the relative entropy method by D. Bresch, P.-E. Jabin, and Z. Wang in arXiv:1706.09564, arXiv:1906.04093 and the regularized -e…
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Li Chen, Alexandra Holzinger, Ansgar Jüngel +1
A mean-field-type limit from stochastic moderately interacting many-particle systems with singular Riesz potential is performed, leading to nonlocal porous-medium equations in the…
Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
Li Chen, Esther S. Daus, Alexandra Holzinger +1
Population cross-diffusion systems of Shigesada-Kawasaki-Teramoto type are derived in a mean-field-type limit from stochastic, moderately interacting many-particle systems for mult…