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arxiv: 0812.4979 · v1 · pith:LU5M3EVCnew · submitted 2008-12-29 · 🧮 math.AP · math-ph· math.MP

Nonlinear diffusion of dislocation density and self-similar solutions

classification 🧮 math.AP math-phmath.MP
keywords nonlinearself-similarsolutionsasymptoticsdensitydescribeddescribingdiffusion
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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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