Ginzburg-landau dynamics with a time-dependent magnetic field.
The time-dependent Ginzburg-Landau equations of superconductivity define a dynamical process when the applied magnetic field varies with time. Sufficient conditions (in terms of the time rate of change of the applied field) are given that, if satisfied, guarantee that this dynamical process is asymptotically autonomous. As time goes to infinity, the dynamical process asymptotically approaches a dynamical system whose attractor coincides with the omega-limit set of the dynamical process.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- ER
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 937948
- Report Number(s):
- ANL/MCS-P620-1196
- Journal Information:
- Nonlinearity, Journal Name: Nonlinearity Journal Issue: 1998 Vol. 11; ISSN 0951-7715
- Country of Publication:
- United States
- Language:
- ENGLISH
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