Atomistic to continuum models for crystals

The theory of nonlinear mass-spring chains has a history stretching back to the now famous numerical simulations of Fermi, Pasta and Ulam. The unexpected results of that experiment have led to many new fields of study. Despite this, the mathematics of the lattice equations have proved sufficiently r...

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Bibliographic Details
Main Author: McMillan, E
Format: Thesis
Published: University of Oxford;Mathematical Institute 2003