| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611201 | Journal of Differential Equations | 2012 | 42 Pages |
Abstract
This paper is concerned with a result of homogenization of an integro-differential equation describing dislocation dynamics. Our model involves both an anisotropic Lévy operator of order 1 and a potential depending periodically on u/ϵ. The limit equation is a non-local Hamilton–Jacobi equation, which is an effective plastic law for densities of dislocations moving in a single slip plane.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
