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math.AP2010
The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model
Ahmad Fino, Hassan Ibrahim, Régis Monneau
We study a generalization of the fully overdamped Frenkel-Kontorova model in dimension This model describes the evolution of the position of each atom in a crystal, and…
math.AP2008★ 2 cited
Decay of mass for nonlinear equation with fractional Laplacian
Ahmad Fino, Grzegorz Karch
The large time behavior of nonnegative solutions to the reaction-diffusion equation posed on and supplemented w…