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Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals

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https//doi.org/10.1137/S0036139999364347

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2001

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Society for Industrial and Applied Mathematics
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https://hdl.handle.net/20.500.14352/57217

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Carpio Rodríguez, A. M., Chapman, S. J. y Velázquez, J. J. L. «Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals». SIAM Journal on Applied Mathematics, vol. 61, n.o 6, enero de 2001, pp. 2168-99. DOI.org (Crossref), https://doi.org/10.1137/S0036139999364347.

Abstract

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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Física matemática, Ecuaciones diferenciales

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1202.07 Ecuaciones en Diferencias

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