Ginzburg--Landau Vortices: Dynamics, Pinning, and Hysteresis
Fang-Hua Lin, Qiang Du
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Source: Crossref
Published: Nov 1, 1997
DOI: 10.1137/s0036141096298060
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In this paper, we consider three problems related to the mathematical study of vortex phenomena in superconductivity based on the G--L models. First, we study the long-time behavior of the solutions of the time-dependent Ginzburg--Landau equations. Then we describe results concerning the pinning effect of thin regions in a variable thickness thin film. Finally, we prove the existence of vortex-like solutions to the steady state Ginzburg--Landau equations and study the hysteresis phenomenon near the lower critical field.
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