\(\Gamma\)-convergence of the Allen-Cahn energy with an oscillating forcing term
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Publication:2496511
DOI10.4171/IFB/135zbMath1106.49053MaRDI QIDQ2496511
Matteo Novaga, Nicolas Dirr, Marcello Lucia
Publication date: 10 July 2006
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
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 (7)
Bump solutions for the mesoscopic Allen-Cahn equation in periodic media ⋮ The Ginzburg-Landau energy with a pinning term oscillating faster than the coherence length ⋮ Variational homogenization: old and new ⋮ Sharp interface limit of a multi-phase transitions model under nonisothermal conditions ⋮ Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations ⋮ Phase separation in heterogeneous media ⋮ A homogenization result in the gradient theory of phase transitions
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