RT Journal Article
T1 Dynamics of line singularities
A1 Carpio Rodríguez, Ana María
A1 Chapman, S.J.
A1 Howison, S.D.
A1 Ockendon, J.R.
AB The dynamics of line singularities in three different physical systems are considered, namely vortices in an inviscid fluid, vortices in a type-II superconductor, and dislocations in an elastic crystal. When the core of the singularity can be regularized with a continuum model, as is the case for superconducting and fluid vortices, the dynamics can be derived systematically in the asymptotic limit as the core radius tends to zero. The asymptotic analysis is more difficult when the core of the singularity is so small as to demand an atomic model, as is the case for dislocations, where the derivation of a law of motion is still an open problem in the mathematical sense.
PB Royal Society of London
SN 1364-503X
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/57222
UL https://hdl.handle.net/20.500.14352/57222
LA eng
NO Carpio Rodríguez, A. M., Chapman, S. J., Howison, S. D., Ockedon, J. R. «Dynamics of Line Singularities». Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, editado por S. J. Chapman et al., vol. 355, n.o 1731, octubre de 1997, pp. 2013-24. DOI.org (Crossref), https://doi.org/10.1098/rsta.1997.0103.
DS Docta Complutense
RD 16 abr 2025