A convergent scheme for a non-local coupled system modelling dislocations densities dynamics
A convergent scheme for a non-local coupled system modelling dislocations densities dynamics
In this paper, we study a non-local coupled system that arises in the theory of dislocations densities dynamics. Within the framework of viscosity solutions, we prove a long time existence and uniqueness result for the solution of this model. We also propose a convergent numerical scheme and we prove a …