Turkish Journal of Mathematics
Abstract
We study the two-dimensional system of Time-Dependent Ginzburg-Landau Equations (TDGL) for modeling a thin film of superconductor subject to a uniform magnetic field. We discretize the TDGL for the space variables using bond variables and staggered grid partitioning technique. By investigating the temporal evolution of semi-discrete Helmholtz enery functional and that of Semi-discretized TDGL, we provide bounds for some observable physical quantities of interest such as superelectron density, supercurrent density, charge density, electric field, and induced magnetic field.
DOI
-
First Page
25
Last Page
44
Recommended Citation
COŞKUN, ERHAN (1997) "On some Bounds for the Solutions of the Semi-Discretized Time-Dependent Ginzburg-Landau Equations," Turkish Journal of Mathematics: Vol. 21: No. 5, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol21/iss5/3
