Nonlinear diffusion of dislocation density and self-similar solutions

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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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ArXiv ID:: 0812.4979

ScienceOpen disciplines: Mathematical physics,Analysis,Mathematical & Computational physics

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ScienceOpen disciplines: Mathematical physics, Analysis, Mathematical & Computational physics

Nonlinear diffusion of dislocation density and self-similar solutions

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