Xiaoxue Qin

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...