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Dynamics of line singularities

Carpio Rodríguez, Ana María and Chapman, S.J. and Howison, S.D. and Ockendon, J.R. (1997) Dynamics of line singularities. Philosophical Transactions of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences, 355 (1731). pp. 2013-2024. ISSN 1364-503X

Official URL: http://rsta.royalsocietypublishing.org/content/355/1731/2013

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Type-II superconductor; elastic crystal; continuum model; core radius;asymptotic analysis; dislocations
Subjects:Sciences > Physics > Hydrodynamics
ID Code:15146
Deposited On:09 May 2012 10:20
Last Modified:09 May 2012 10:20

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