Asymptotic expansions by \(\Gamma \)-convergence

From MaRDI portal
Publication:1018478

DOI10.1007/s00161-008-0072-2zbMath1160.74363OpenAlexW2107729689MaRDI QIDQ1018478

Andrea Braides, L. M. Truskinovskij

Publication date: 20 May 2009

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-008-0072-2



Related Items

Asymmetric domain walls of small angle in soft ferromagnetic films, Consistency of modularity clustering on random geometric graphs, The 0-fractional perimeter between fractional perimeters and Riesz potentials, Variational analysis of the asymptotics of the \(XY\) model, Elastic bars with cohesive energy, Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional, Discrete-to-continuum modelling of weakly interacting incommensurate two-dimensional lattices, Γ-convergence: a tool to investigate physical phenomena across scales, Stochastic homogenisation of singularly perturbed integral functionals, Segmentation in cohesive systems constrained by elastic environments, Γ-type estimates for the one-dimensional Allen–Cahn’s action, Asymptotic analysis of a ferromagnetic Ising system with ``diffuse interfacial energy, On continuum limits of heterogeneous discrete systems modelling cracks in composite materials, Beyond kinetic relations, Beyond the classical Cauchy-Born rule, Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach, Emergence of Wulff-crystals from atomistic systems on the FCC and HCP lattices, On the convergence rate of some nonlocal energies, On Lennard-Jones systems with finite range interactions and their asymptotic analysis, Unnamed Item, A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\), A homogenization result for interacting elastic and brittle media, A universal thin film model for Ginzburg-Landau energy with dipolar interaction, The \(\Gamma\)-limit of the two-dimensional Ohta-Kawasaki energy. Droplet arrangement via the renormalized energy, Quantitative analysis of finite-difference approximations of free-discontinuity problems, Variational evolution of one-dimensional Lennard-Jones systems, Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy, Energy barrier and \(\Gamma\)-convergence in the \(d\)-dimensional Cahn-Hilliard equation, BOUNDARY LAYER ENERGIES FOR NONCONVEX DISCRETE SYSTEMS, Discrete spin systems on random lattices at the bulk scaling, Asymptotic analysis of boundary layers in a repulsive particle system, Asymptotic analysis of periodically-perforated nonlinear media at and close to the critical exponent, Models of defects in atomistic systems, On variational dimension reduction in structure mechanics, Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint, Two-scale \(\Gamma \)-convergence of integral functionals and its application to homogenisation of nonlinear high-contrast periodic composites, Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model, Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions, Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals, On the Kirchhoff-Love hypothesis (Revised and Vindicated), Euler elastica as a Γ-limit of discrete bending energies of one-dimensional chains of atoms, The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density, Second-order \(\Gamma\)-limit for the Cahn-Hilliard functional, Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions, Towards multi-scale continuum elasticity theory, Metastability and dynamics of discrete topological singularities in two dimensions: a \(\Gamma\)-convergence approach, Sharp interface limit of a multi-phase transitions model under nonisothermal conditions, Minimizing movements for oscillating energies: the critical regime, Higher Order Gamma-limits for Singularly Perturbed Dirichlet--Neumann Problems, Consistent finite-dimensional approximation of phase-field models of fracture, Two geometric lemmas for𝒮N−1-valued maps and an application to the homogenization of spin systems, Separation of domain walls with nonlocal interaction and their renormalised energy by \(\Gamma\)-convergence in thin ferromagnetic films, ASYMPTOTIC ANALYSIS OF PERIODICALLY-PERFORATED NONLINEAR MEDIA AT THE CRITICAL EXPONENT, Frustrated ferromagnetic spin chains: a variational approach to chirality transitions, Singular perturbation by bending for an adhesive obstacle problem, Asymptotic analysis of microscopic impenetrability constraints for atomistic systems



Cites Work