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arXiv · 0812.4979

Nonlinear diffusion of dislocation density and self-similar solutions

Piotr Biler·Grzegorz Karch·Regis Monneau
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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.

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Piotr Biler, Grzegorz Karch, Regis Monneau. 2008-12-29. Nonlinear diffusion of dislocation density and self-similar solutions. https://doi.org/10.1007/s00220-009-0855-8

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