Nonlinear Diffusion of Dislocation Density and Self-Similar Solutions

作者：Biler Piotr^*; Karch Grzegorz; Monneau Regis

来源：Communications in Mathematical Physics, 2010, 294(1): 145-168.

DOI：10.1007/s00220-009-0855-8

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.

• 出版日期2010-2