3 papers
math.AP2026
Critical Three-Species Competition-Diffusion: Traveling-Wave Rigidity and the Fastest-Species Selection
Haozhe Shu, Dongyuan Xiao
We study the rigidity of traveling waves and long-time species selection in a one-dimensional critical three-species competition-diffusion system. We establish several rigidity res…
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…