Derivation of the 1-D Groma–Balogh equations from the Peierls–Nabarro model
Author:
Funder
NSF
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00526-023-02575-7.pdf
Reference35 articles.
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3. Cozzi, M., Dávila, J., del Pino, M.: Long-time asymptotics for evolutionary crystal dislocation models. Adv. Math. 371, 107242 (2020)
4. Crandall, M.G., Ishii, H., Lions, P.L.: User’s guide to viscosity solutions of second order partial differential equations. Bull. Am. Math. Soc. (N.S.) 27(1), 1–67 (1992)
5. Denoual, C.: Dynamic dislocation modeling by combining Peierls Nabarro and Galerkin methods. Phys. Rev. B 70, 024106 (2004)
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Discrete-to-continuum limits of interacting particle systems in one dimension with collisions;Journal of Mathematical Analysis and Applications;2024-11
2. Discrete Dislocation Dynamics with Annihilation as the Limit of the Peierls–Nabarro Model in One Dimension;SIAM Journal on Mathematical Analysis;2024-01-05
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