7 citations · 8 across the 8 of their papers we have counts for
8 papers
Analysis validation of a new continuum model for the evolution of grain boundaries in polycrystalline materials
Peicheng Zhu, Xiaoxue Qin, Yang Xiang
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 therm…
Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries
Peicheng Zhu, Lei Yu, Yang Xiang
We investigate an initial-(periodic-)boundary value problem for a continuum equation, which is a model for motion of grain boundaries based on the underlying microscopic mechanisms…
Regularity of solutions to a model for solid-solid phase transitions driven by configurational forces
Peicheng Zhu
In a previous work, we prove the existence of weak solutions to an initial-boundary value problem, with initial data, for a system of partial differential equations, which…
Spherically symmetric solutions to a model for phase transitions driven by configurational forces
Yaobin Ou, Peicheng Zhu
We prove the global in time existence of spherically symmetric solutions to an initial-boundary value problem for a system of partial differential equations, which consists of the…
Existence and regularity of weak solutions to a model for coarsening in molecular beam epitaxy
Jun Zhang, Peicheng Zhu
Taking into account the occurrence of a zero of the surface diffusion current and the requirement of the Ehrlich-Schwoebel effect, Siegert et al \cite{Siegert94} formulate a model…
Stationary waves to viscous heat-conductive gases in half space: existence, stability and convergence rate
Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata +1
The present paper is concerned with large-time behavior of solutions to an outflow problem for an ideal polytropic model of compressible viscous gases in one-dimensional half space…