The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model
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Publication:649756
DOI10.1016/j.jde.2011.08.007zbMath1230.49024arXiv1010.0865OpenAlexW2963819513MaRDI QIDQ649756
Régis Monneau, Hassan Ibrahim, Ahmad Z. Fino
Publication date: 6 December 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0865
boundary conditionsdislocationsviscosity solutionsFrenkel-Kontorova modelPeierls-Nabarro modeldiscrete-continuous system
Boundary value problems in the complex plane (30E25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) PDEs in connection with control and optimization (35Q93)
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