On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics
Analysis of PDEs
2014-05-30 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1210.4072,
title = {On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics},
author = {Dong Li and Changxing Miao and Liutang Xue},
journal= {arXiv preprint arXiv:1210.4072},
year = {2014}
}
Comments
28pages