2 citations · 2 across the 4 of their papers we have counts for
4 papers
Quantitative estimates of propagation of chaos for multi-species cross-diffusion equations
Yue Li, Yefei Yin, Zhipeng Zhang
In this paper, we prove the quantitative propagation of chaos results that allow us to derive multi-species cross-diffusion equations from moderately interacting stochastic particl…
Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation
Li Chen, Veniamin Gvozdik, Yue Li
The aim of this paper is to provide the analysis result for the partial differential equations arising from the rigorous derivation of the degenerate parabolic-elliptic Keller-Sege…
Convergence towards the population cross-diffusion system from stochastic many-particle system
Yue Li, Li Chen, Zhipeng Zhang
In this paper, we derive rigorously a non-local cross-diffusion system from an interacting stochastic many-particle system in the whole space. The convergence is proved in the sens…
A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation
Li Chen, Jinyeop Lee, Yue Li +1
We re-examine the combined semi-classical and mean-field limit in the -body fermionic Schrödinger equation with pure state initial data using the Husimi measure framework. The H…