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Determining nodes for the Ginzburg-Landau equations of superconductivity.

Journal Article · · Discrete Continuous Dyn. Syst.
OSTI ID:938140
It is shown that a solution of the time-independent Ginsburg-Landau equations of superconductivity is determined completely and exactly by its values at a finite but sufficiently dense set of determining nodes in the domain. If the applied magnetic field is time dependent and asymptotically stationary, the large-time asymptotic behavior of a solution of the time-dependent Ginsburg-Landau equations of superconductivity is determined similarly by its values at a finite set of determining nodes, whose positions may vary with time.
Research Organization:
Argonne National Laboratory (ANL)
Sponsoring Organization:
ER
DOE Contract Number:
AC02-06CH11357
OSTI ID:
938140
Report Number(s):
ANL/MCS-P683-0897
Journal Information:
Discrete Continuous Dyn. Syst., Journal Name: Discrete Continuous Dyn. Syst. Journal Issue: 2 ; Apr. 1998 Vol. 4
Country of Publication:
United States
Language:
ENGLISH

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