In this paper, we establish the global fast dynamics for the time-dependent Ginzburg}Landau equations of superconductivity. We show the squeezing property and the existence of "nite-dimensional exponential attractors for the system. In addition we prove the existence of the global attractor in ΒΈ;ΒΈ f
Interaction of superconducting vortices and asymptotics of the Ginzburg-Landau flow
β Scribed by D. Stuart
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 294 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
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
## Let be a domain in R n occupied by a superconductor material. According to the Ginzburg-Landau theory, the order parameter (complex-valued) and the induced magnetic potential A of the material must minimize the following Ginzburg-Landau functional: where H is the applied magnetic ΓΏeld and k is
For disc domains and for periodic models, we construct solutions of the Ginzburg-Landau equations which verify in the limit of a large Ginzburg-Landau parameter specified qualitative properties: the limit density of the vortices concentrates on lines.