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oai:docta.ucm.es:20.500.14352/572172024-07-09T15:52:46Zcom_20.500.14352_14col_20.500.14352_15

Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals Carpio Rodríguez, Ana María Chapman, S. J. Velázquez, J. J. L. 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. 2023-06-20T16:50:50Z 2023-06-20T16:50:50Z 2001 journal article 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 eng Spanish-British integrated action HB1997-0162 European TMR on Hyperbolic Systems ERB-FMRXCT-960033 PB96-0614. open access Society for Industrial and Applied Mathematics