Nonlinear diffusion of dislocation density and self-similar solutions
Analysis of PDEs
2015-05-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0812.4979,
title = {Nonlinear diffusion of dislocation density and self-similar solutions},
author = {Piotr Biler and Grzegorz Karch and Regis Monneau},
journal= {arXiv preprint arXiv:0812.4979},
year = {2015}
}