Erschienen in:

2003 | OriginalPaper | Buchkapitel

Variational and Dynamic Problems for the Ginzburg-Landau Functional

verfasst von : Halil Mete Soner

Erschienen in: Mathematical Aspects of Evolving Interfaces

Verlag: Springer Berlin Heidelberg

Enthalten in: Professional Book Archive

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1 Introduction2 Energy Lower Bounds2.1 Degree and Jacobian2.2 Covering argument2.3 Main lower bound3 Jacobian and the GL Energy3.1 Jacobian estimate3.2 Compactness in two dimensions4 Gamma Limit4.1 Functions of BnV4.2 Gamma limit of $I^\epsilon $5 Compactness in Higher Dimensions6 Dynamic Problems: Evolution of Vortex Filaments6.1 Energy identities6.2 Mean curvature flow and the distance function6.3 ConvergenceReferences

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Variational and Dynamic Problems for the Ginzburg-Landau Functional

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