2 citations · 4 across the 7 of their papers we have counts for
7 papers
Two-dimensional signal-dependent parabolic-elliptic Keller-Segel system and its mean-field derivation
Lukas Bol, Li Chen, Yue Li
In this paper, the well-posedness of two-dimensional signal-dependent Keller-Segel system and its mean-field derivation from a interacting particle system on the whole space are in…
Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part II Propagation of Chaos
Li Chen, Veniamin Gvozdik, Yue Li
This work is a series of two articles. The main goal is to rigorously derive the degenerate parabolic-elliptic Keller-Segel system in the sub-critical regime from a moderately inte…
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…
Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain
Li Chen, Yue Li, Nicola Zamponi
A coupled kinetic-fluid model is investigated, which describes the dynamic behavior of an ensemble of Cucker-Smale flocking particles interacting with a viscous fluid in a three-di…
Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system
Li Chen, Fucai Li, Yue Li +1
We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system d…