论文标题
线性化场错位动力学的存在,独特性和长期行为
Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics
论文作者
论文摘要
本文研究了一个偏微分方程的系统,描述了结晶固体中的脱位动力学。特别是,我们考虑了涉及零应力状态的动力学,并使用线性半群理论来建立线性系统的存在,唯一性和时间渐近行为。
This paper examines a system of partial differential equations describing dislocation dynamics in a crystalline solid. In particular we consider dynamics linearized about a state of zero stress and use linear semigroup theory to establish existence, uniqueness, and time asymptotic behavior of the linear system.