abstract: Travelling waves in a one-dimensional chain of atoms will be investigated. The aim is to allow for nonconvex energy densities, which occur in the theory of phase transforming solids, such as martensitic crystals. The existence of solitary waves with a prescribed asymptotic strain will be shown under certain assumptions on the asymptotic strain and the wave speed. Connections to previous results will be discussed.
This is joint work with Hartmut Schwetlick (Bath).