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Nonlinear diffusion of dislocation density and self-similar solutions

Authors :
Biler, Piotr
Karch, Grzegorz
Monneau, Regis
Publication Year :
2008

Abstract

We study a nonlinear pseudodifferential equation describing the dynamics of dislocations. The long time asymptotics of solutions is described by the self-similar profiles.

Subjects

Subjects :
Mathematics - Analysis of PDEs
Mathematical Physics
35Kxx
35Sxx
35B40

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0812.4979
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s00220-009-0855-8
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