7 citations · 7 across the 2 of their papers we have counts for
2 papers
math.AP2009★ 7 cited
Dynamics of dislocation densities in a bounded channel. Part I: smooth solutions to a singular coupled parabolic system
H. Ibrahim, M. Jazar, R. Monneau
We study a coupled system of two parabolic equations in one space dimension. This system is singular because of the presence of one term with the inverse of the gradient of the sol…
math-ph2009
Derivation and study of dynamical models of dislocation densities
Ahmad El Hajj, H. Ibrahim, Régis Monneau
In this paper, starting from the microscopic dynamics of isolated dislocations, we explain how to derive formally mean field models for the dynamics of dislocation densities. Essen…