TY - JOUR AU - Carpio Rodríguez, Ana María AU - Chapman, S. J. AU - Velázquez, J. J. L. PY - 2001 DO - 10.1137/S0036139999364347 SN - 0036-1399 UR - https://hdl.handle.net/20.500.14352/57217 T2 - SIAM Journal on applied mathematics AB - 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... LA - eng M2 - 2168 PB - Society for Industrial and Applied Mathematics KW - Dislocation dynamics KW - Degenerate systems of conservation laws KW - Free-boundary problems KW - Pattern formation TI - Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals TY - journal article VL - 61 ER -