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Carpio, Ana and Chapman, S.J. and Velázquez, J.J. L. (2001) Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals. SIAM Journal on applied mathematics, 61 (6). pp. 2168-2199. ISSN 0036-1399
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Official URL: http://epubs.siam.org/siap/resource/1/smjmap/v61/i6/p2168_s1?isAuthorized=no
Abstract
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.
Item Type: | Article |
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Uncontrolled Keywords: | Dislocation dynamics, degenerate systems of conservation laws, free-boundary problems, pattern formation |
Subjects: | Sciences > Physics > Mathematical physics Sciences > Mathematics > Differential equations |
ID Code: | 15097 |
Deposited On: | 04 May 2012 11:44 |
Last Modified: | 12 Dec 2018 15:07 |
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