Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics
Analysis of PDEs
2022-08-23 v1 Materials Science
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.2208.09681,
title = {Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics},
author = {Amit Acharya and Marshall Slemrod},
journal= {arXiv preprint arXiv:2208.09681},
year = {2022}
}