3 papers
math.AP2025
Boundary Regularity for Fully Nonlinear Parabolic equations on Domains
Jiqi Dong, Xuemei Li, Yuanyuan Lian
We establish the boundary pointwise Lipschitz regularity on exterior domains and the Hopf lemma on interior domains for fully nonlinear…
math.DS2025
The existence of quasi-periodic invariant tori and double Hopf bifurcation of van der Pol's oscillator with delayed feedback
Xuemei Li, Bochao Yu
The double Hopf bifurcation and the existence of quasi-periodic invariant tori in a delayed van der Pol's oscillator are considered by regarding the damped coefficient and the dela…
math.DS2025
Hopf and double Hopf bifurcations in a delayed lateral vibration model of footbridges induced by pedestrians
Xuemei Li, Yechi Liu
In this paper, we investigate the dynamical behaviors of a delayed lateral vibration model of footbridges proposed based on the facts that pedestrians will reduce their walking spe…