RT Journal Article
T1 Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals
A1 Carpio Rodríguez, Ana María
A1 Chapman, S. J.
A1 Velázquez, J. J. L.
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 parabolic free-boundary problems. In both cases, solutions describing the formation of structures such as dislocation pile-ups are discussed.
PB Society for Industrial and Applied Mathematics
SN 0036-1399
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/57217
UL https://hdl.handle.net/20.500.14352/57217
LA eng
NO 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.
NO Directorate General for Higher Education (Portugal)
DS Docta Complutense
RD 8 abr 2025