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      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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          Author and article information

          Journal
          2008-12-29
          Article
          10.1007/s00220-009-0855-8
          0812.4979

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          35Kxx; 35Sxx; 35B40
          math.AP math-ph math.MP

          Mathematical physics, Analysis, Mathematical & Computational physics

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