2026-07-18T16:47:21Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/572172024-07-09T15:52:46Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Carpio Rodríguez, Ana María
author
Chapman, S. J.
author
Velázquez, J. J. L.
2023-06-20T16:50:50Z
2023-06-20T16:50:50Z
2001
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.
0036-1399
10.1137/S0036139999364347
https://hdl.handle.net/20.500.14352/57217
https//doi.org/10.1137/S0036139999364347
http://epubs.siam.org/siap/resource/1/smjmap/v61/i6/p2168_s1?isAuthorized=no
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.
eng
Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals
journal article
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