16 citations · 63 across the 21 of their papers we have counts for
22 papers
Connection between a degenerate particle flow model and a free boundary problem
Li Chen, Simone Göttlich, Nicola Zamponi
In this paper a strongly degenerate parabolic equation derived from a density dependent particle flow model is studied. Furthermore, a free boundary problem and its connection to t…
Weak entropy solution for a Keller-Segel type fluid model
Li Chen, Feimin Huang, Lingjun Liu
In this paper, we consider a Keller-Segel type fluid model, which is a kind of Euler-Poisson system with a self-gravitational force. We show that similar to the parabolic case, the…
On the global classical solution to compressible Euler system with singular velocity alignment
Li Chen, Changhui Tan, Lining Tong
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establis…
The global classical solution to compressible Euler system with velocity alignment
Lining Tong, Li Chen, Simone Göttlich +1
In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound spe…
Mathematical models for cell migration: a nonlocal perspective
Li Chen, Kevin Painter, Christina Surulescu +1
We provide a review of recent advancements in nonlocal continuous models for migration, mainly from the perspective of its involvement in embryonal development and cancer invasion.…
Combined Mean Field Limit and Non-relativistic Limit of Vlasov-Maxwell Particle System to Vlasov-Poisson System
Li Chen, Xin Li, Peter Pickl +1
In this paper we consider the mean field limit and non-relativistic limit of relativistic Vlasov-Maxwell particle system to Vlasov-Poisson equation. With the relativistic Vlasov-Ma…