Viscosity solutions for particle systems and homogenization of dislocation dynamics
نویسندگان
چکیده
In this paper, we give a review of recent results about the homogenization of particle systems with applications to Frenkel-Kontorova models and dislocation dynamics of curves. We underline the main ideas which allow us to extend the nonlinear homogenization methods for viscosity solutions, to the present framework of particles in interactions, or moving fronts in interactions. AMS Classification: 35B27, 35F20
منابع مشابه
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In this paper, we give a review of recent results about the homogenization of particle systems with applications to Frenkel-Kontorova models and dislocation dynamics of curves. We underline the main ideas which allow us to extend the nonlinear homogenization methods for viscosity solutions, to the present framework of particles in interactions, or moving fronts in interactions. AMS Classificati...
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تاریخ انتشار 2008