A relaxation result for energies defined on pairs set-function and applications
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Publication:5425988
DOI10.1051/cocv:2007032zbMath1149.49017OpenAlexW2161956800MaRDI QIDQ5425988
Antonin Chambolle, Andrea Braides, Margherita Solci
Publication date: 15 November 2007
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_4_717_0
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (22)
HOMOGENIZATION OF ENERGIES DEFINED ON PAIRS SET-FUNCTION ⋮ The surface diffusion flow with elasticity in the plane ⋮ Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity ⋮ A numerical study of void coalescence and fracture in nonlinear elasticity ⋮ The surface diffusion flow with elasticity in three dimensions ⋮ \(\Gamma\)-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals ⋮ Gradient Damage Models for Heterogeneous Materials ⋮ A model for dislocations in epitaxially strained elastic films ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ Two-phase models for elastic membranes with soft inclusions ⋮ A variational model in image processing with focal points ⋮ Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements ⋮ Material voids in elastic solids with anisotropic surface energies ⋮ Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results ⋮ Surface waves on steady perfect-fluid flows with vorticity ⋮ Equilibria and dislocations in epitaxial growth ⋮ Approximation of a brittle fracture energy with a constraint of non-interpenetration ⋮ A Ginzburg-Landau model with topologically induced free discontinuities ⋮ Surface evolution of elastically stressed films ⋮ A unified model for stress-driven rearrangement instabilities ⋮ Approximation of the Mumford–Shah functional by phase fields of bounded variation ⋮ \(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity
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