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Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals

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Publication:2719109
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DOI10.1137/S0036139999364347zbMath0982.35124MaRDI QIDQ2719109

Ana Carpio, J. L. L. Velázquez, S. Jonathan Chapman

Publication date: 21 June 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

pattern formationdislocation dynamicsdegenerate systems of conservation laws


Mathematics Subject Classification ID

Crystalline structure (74E15) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35)


Related Items (3)

Stability of concentrated suspensions under Couette and Poiseuille flow ⋮ A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations ⋮ Travelling wave solutions for a quasilinear model of field dislocation mechanics




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