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Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin

On a non-stationary Ginzburg-Landau superconductivity model. (English) Zbl 0817.35111

Math. Methods Appl. Sci. 16, No. 12, 855-875 (1993).
Summary: 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.

Cited in 69 Documents

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35K55 Nonlinear parabolic equations
82D55 Statistical mechanics of superconductors

Keywords:

Mawell’s equations; non-stationary superconductivity model; Ginzburg- Landau macroscopic theory; gauge invariance; curl boundary conditions; existence
PDFBibTeX XMLCite
\textit{Z. Chen} et al., Math. Methods Appl. Sci. 16, No. 12, 855--875 (1993; Zbl 0817.35111)
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