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math-ph2022★ 2 cited
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…
math.AP2022
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…
math.AP2022★ 1 cited
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…