Carpio Rodríguez, Ana María and Chapman, S.J. and Velázquez, J.J. L. (2001) Pileup solutions for some systems of conservation laws modelling dislocation interaction in crystals. SIAM Journal on applied mathematics, 61 (6). pp. 21682199. ISSN 00361399

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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 freeboundary problems. In both cases, solutions describing the formation of structures such as dislocation pileups are discussed.
Item Type:  Article 

Uncontrolled Keywords:  Dislocation dynamics, degenerate systems of conservation laws, freeboundary problems, pattern formation 
Subjects:  Sciences > Physics > Mathematical physics Sciences > Mathematics > Differential equations 
ID Code:  15097 
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Last Modified:  20 Apr 2015 12:15 
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