Nonlinear Diffusion of Dislocation Density and Self-Similar Solutions

被引:0
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作者
Piotr Biler
Grzegorz Karch
Régis Monneau
机构
[1] Uniwersytet Wrocławski,Instytut Matematyczny
[2] CERMICS,undefined
[3] École Nationale des Ponts et Chaussées,undefined
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关键词
Dislocation Density; Viscosity Solution; Comparison Principle; Decay Estimate; Nonlinear Diffusion;
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摘要
We study a nonlinear pseudodifferential equation describing the dynamics of dislocations in crystals. The long time asymptotics of solutions is described by the self-similar profiles.
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页码:145 / 168
页数:23
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