3 papers
math.AP2026
Existence for Stable Rotating Star-Planet Systems
Hangsheng Chen
This paper investigates the existence and properties of stable, uniformly rotating star-planet systems, i.e. mass ratio is sufficiently small. It is modeled by the Euler-Poisson eq…
math.AP2026
Revisiting Non-Rotating Star Models: Classical Existence and Uniqueness Theory and Scaling Relations
Hangsheng Chen
This paper presents a systematic study of the properties of non-rotating stellar models governed by the Euler-Poisson system under general equations of state, including the case of…
math.AP2026
Gradient Existence and Energy Finiteness of Local Minimizers in the Wasserstein Topology for Binary-Star Systems
Hangsheng Chen
In this paper, we refine and complement McCann's results on binary-star systems \cite{McC06}, a compressible fluid model governed by the Euler-Poisson equations. We consider a gene…