3 papers
math.AP2026
Fastest-Species Selection in Critical Multispecies Competition-Diffusion Systems via an Entropy Approach
Haozhe Shu, Dongyuan Xiao
We study an -species competition--diffusion system with a common competition term, for which the associated ODE system admits infinitely many equilibria. For , Alfaro and X…
math.DS2026
Asymptotic behavior of solutions to linear evolution equations with time delay via a spectral theory on Gelfand triples
Haozhe Shu
In this paper, a class of linear evolution equations with time delay is studied in which the presence of continuous spectrum on the imaginary axis obstructs the analysis of long-ti…
math.DS2025
Analysis of pitchfork bifurcations and symmetry breaking in the elliptic restricted three-body problem
Haozhe Shu, Mingpei Lin
A unified framework is proposed to quantitatively characterize pitchfork bifurcations and associated symmetry breaking in the elliptic restricted three-body problem (ERTBP). It is…