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arXiv · 2208.09681

Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics

Amit Acharya·Marshall Slemrod
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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.

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BibTeXRIS

Amit Acharya, Marshall Slemrod. 2022-08-20. Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics. https://arxiv.org/abs/2208.09681

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