Author

Yang Xiang

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Preprint Oct 2026

A Parameterized Stochastic Hamiltonian Process on Graphs with Two-Point Boundary Conditions

This paper presents a Lagrangian framework to solve Wasserstein Hamiltonian flows (WHF) under two-point boundary conditions on large finite graphs. Characterized by a coupled system of discrete master equation and Hamilton-Jacobi (HJ) equation on the probability simplex, this formulation defines the macroscopic WHF. Wh...

Ya-Xin Feng, Yang Xiang, Hao-Min Zhou · 0 citations

Preprint Aug 2026

Analysis validation of a new continuum model for the evolution of grain boundaries in polycrystalline materials

To describe the evolution of grain boundaries based on the underlying microscopic mechanisms of line defects (disconnections) and the integrated effects of a diverse range of thermodynamic driving forces, Zhang, et al. in 2017 formulated a continuum equation. We prove the global-in-time existence, uniqueness, and regul...

P. Zhu, Xiaoxue Qin, Yang Xiang · 0 citations