Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach (Q2253271)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach |
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Ginzburg-Landau functionals and renormalized energy: a revised \({\gamma}\)-convergence approach (English)
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25 July 2014
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The authors give short, efficient, and self-contained proofs for \(\Gamma\)-convergence for the following cases: Compactness, \(\Gamma -\liminf\) inequality, \(\Gamma -\limsup\) inequality. Then, first order \(\Gamma\)-convergence is proved for \(GL_{\epsilon}\) to the renormalized energy for the three cases above. Finally, boundary conditions for the three cases above are considered.
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Ginzburg-Landau theory
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topological singularities
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calculus of variations
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