1210.4072 (Dong Li et al.)

On the well-posedness of a 2D nonlinear and nonlocal system arising from
the dislocation dynamics    [PDF]

Dong Li, Changxing Miao, Liutang Xue

In this paper we consider a 2D nonlinear and nonlocal model describing the dynamics of the dislocation densities. We prove the local well-posedness of strong solution to this system in the suitable functional framework, and we show the global well-posedness for some dissipative cases by the method of nonlocal maximum principle.

View original: http://arxiv.org/abs/1210.4072