%0 Journal Article
%A Carpio, Ana
%A Chapman, S.J.
%A Velázquez, J.J. L.
%T Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals
%D 2001
%@ 0036-1399
%U https://hdl.handle.net/20.500.14352/57217
%X Some continuum models for dislocation interactions in a simple crystal geometry are studied. The simplest models are mixed systems ofconservation laws which are shown to exhibit singularities and instabilities. These are then regularized, leading to parabolic free-boundary problems. In both cases, solutions describing the formation of structures such as dislocation pile-ups are discussed.
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