A Γ‐convergence result for the two‐gradient theory of phase transitions
DOI10.1002/cpa.10035zbMath1029.49040OpenAlexW2042833347MaRDI QIDQ4790308
Giovanni Leoni, Irene Fonseca, Sergio Conti
Publication date: 28 January 2003
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.10035
Singular perturbations in context of PDEs (35B25) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (35)
Cites Work
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- The gradient theory of phase transitions for systems with two potential wells
- Local minimisers and singular perturbations
- On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
- Anisotropic singular perturbations—the vectorial case
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