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Homogenization of the Peierls-Nabarro model for dislocation dynamics
- Publication Year :
- 2010
- Publisher :
- arXiv, 2010.
-
Abstract
- This paper is concerned with a result of homogenization of an integro-differential equation describing dislocation dynamics. Our model involves both an anisotropic L��vy operator of order 1 and a potential depending periodically on $u/\ep$. 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.<br />39 pages
- Subjects :
- FOS: Mathematics
Analysis of PDEs (math.AP)
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi...........5336fb0c299e45794e15a468b2111932
- Full Text :
- https://doi.org/10.48550/arxiv.1007.2915