位错密度动力学模型的推导与研究
Derivation and study of dynamical models of dislocation densities
摘要：
本文从孤立位错的微观动力学出发，阐述了如何从形式上导出位错密度动力学的平均场模型。这些模型实质上是与弹性方程耦合的输运方程。对其中一些模型给出了解的存在性的严格结果，并给出了证明的主要思想。
英文摘要：
In this paper, starting from the microscopic dynamics of isolated dislocations, we explain how to derive formally mean field models for the dynamics of dislocation densities. Essentially these models are tranport equations, coupled with the equations of elasticity. Rigorous results of existence of solutions are presented for some of these models and the main ideas of the proofs are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
