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On a non-stationary Ginzburg–Landau superconductivity model

✍ Scribed by Zhiming Chen; K.-H. Hoffmann; Jin Liang

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
728 KB
Volume
16
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we study a non‐stationary superconductivity model derived from Ginzburg–Landau macroscopic theory. By using gauge invariance and studying a linear problem with curl boundary conditions, we obtain the existence of solutions. The solution is unique in the sense of gauge equivalence.

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Asymptotic Behavior of the Solutions of
Asymptotic Behavior of the Solutions of an Evolutionary Ginzburg-Landau Superconductivity Model
✍ J. Liang; T. Qi 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 520 KB

The asymptotic behaviour of the solutions of a non-stationary Ginzburg-Landau superconductivity model is discussed. Under suitable choices of gauge, it is proved that, as \(t\) tends to infinity, the \(\omega\)-limit set of the solutions of the evolutionary superconductivity model consists of the so