Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one
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Publication:765097
DOI10.3934/dcds.2012.32.1255zbMath1234.35267arXiv1007.0740OpenAlexW2964038482MaRDI QIDQ765097
Régis Monneau, María del Mar González
Publication date: 19 March 2012
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.0740
reaction-diffusion equationtransition layersingular limitparticle systemsPeierls-Nabarro modelnon-local Allen-Cahn equation
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74)
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