Nonlinear Diffusion of Dislocation Density and Self-Similar Solutions

被引：66

作者：

Biler, Piotr ^{[1
]}

Karch, Grzegorz ^{[1
]}

Monneau, Regis ^{[2
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, PL-50384 Wroclaw, Poland

[2] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee 2, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 294卷 / 01期

关键词：

ONE-DIMENSIONAL MODEL; GROUP-DYNAMICS; VISCOSITY SOLUTIONS; GLOBAL EXISTENCE; SINGULARITIES; HOMOGENIZATION; EQUATIONS;

D O I：

10.1007/s00220-009-0855-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：145 / 168

页数：24

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