most citedDynamics of dislocation densities in a bounded channel. Part I: smooth solutions to a singular coupled parabolic system

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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…