Asymptotic Analysis of a System of Algebraic Equations Arising in Dislocation Theory
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Publication:5392334
DOI10.1137/090778444zbMath1222.41041OpenAlexW1969797399MaRDI QIDQ5392334
Cameron L. Hall, John R. Ockendon, S. Jonathan Chapman
Publication date: 8 April 2011
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/ee513346bf0bbe199bd9a8bf3721d4c935868f65
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Boundary-Layer Analysis of Repelling Particles Pushed to an Impenetrable Barrier ⋮ Regularity of the minimiser of one-dimensional interaction energies ⋮ The line-tension approximation as the dilute limit of linear-elastic dislocations ⋮ Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension ⋮ Asymptotic analysis of boundary layers in a repulsive particle system ⋮ Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics ⋮ Discrete-To-Continuum Limits of Particles with an Annihilation Rule ⋮ Upscaling of dislocation walls in finite domains ⋮ The continuum limit of interacting dislocations on multiple slip systems
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