Another approach to the thin-film Γ-limit of the micromagnetic free energy in the regime of small samples
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Publication:4922278
DOI10.1090/S0033-569X-2012-01323-5zbMath1264.49011arXiv1105.4266MaRDI QIDQ4922278
Publication date: 29 May 2013
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.4266
Electromagnetic effects in solid mechanics (74F15) Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Partial differential equations and systems of partial differential equations with constant coefficients (35E99) Maxwell equations (35Q61)
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An effective model for boundary vortices in thin-film micromagnetics ⋮ Asymptotic variational analysis of incompressible elastic strings ⋮ A note on 3D-1D dimension reduction with differential constraints ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting
Cites Work
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- Weak continuity and weak lower semi-continuity of non-linear functionals
- Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism
- Energy minimizers for large ferromagnetic bodies
- Internal variables and fine-scale oscillations in micromagnetics
- Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
- \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- A-Quasiconvexity: Relaxation and Homogenization
- Dimension reduction for functionals on solenoidal vector fields
- Classical Fourier Analysis
- $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
- On Landau-Lifshitz’ equations for ferromagnetism
- A reduced theory for thin-film micromagnetics
- Thin elastic films: The impact of higher order perturbations
- Large scale detection of half-flats in CAT(0)-spaces
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