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Atomistic to continuum models for crystals

Abstract:

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 rich to attract continued attention to the present day. This work is concerned with the motions of an infinite one dimensional lattice with nearest-neighbour interactions governed by a generic pot...

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Publication date:
2003
URN:
uuid:73845d71-e027-4b80-8f84-7894b8a7e929
Local pid:
oai:eprints.maths.ox.ac.uk:51

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