Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting

Author:

Dipierro Serena,Palatucci Giampiero,Valdinoci Enrico

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference24 articles.

1. Alicandro, R., De Luca, L., Garroni, A., Ponsiglione, M.: Metastability and dynamics of discrete topological singularities in two dimensions: a Γ-convergence approach. Arch. Ration. Mech. Anal., to appear

2. Alvarez O., Hoch P., Le Bouar Y., Monneau R.: Dislocation dynamics: short-time existence and uniqueness of the solution. Arch. Ration. Mech. Anal. 181(3), 449–504 (2006)

3. Barrios, B., Figalli, A., Valdinoci, E.: Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XIII, 1–31 (2014)

4. Barles G., Imbert C.: Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Ann. Inst. H. Poincaré Anal. Non Linéaire 25(3), 567–585 (2008)

5. Cabré, X., Sire, Y.: Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions. Trans. Am. Math. Soc., to appear

Cited by 55 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 Dislocation Dynamics with Annihilation as the Limit of the Peierls–Nabarro Model in One Dimension;SIAM Journal on Mathematical Analysis;2024-01-05

2. Derivation of the 1-D Groma–Balogh equations from the Peierls–Nabarro model;Calculus of Variations and Partial Differential Equations;2023-10-04

3. Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy;SIAM Journal on Mathematical Analysis;2023-04-27

4. Optimal Hardy Inequality for Fractional Laplacians on the Integers;Annales Henri Poincaré;2023-04-24

5. Solvability of a nonlocal fractional p-Kirchhoff type problem;Rendiconti del Circolo Matematico di Palermo Series 2;2023-03-21

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3