Existence and uniform boundedness of strong solutions of the time‐dependent Ginzburg‐Landau equations of superconductivity

Fouzi Zaouch

Abstract and Applied Analysis, 2005, vol. 2005, issue 8, 863-887

Abstract: The time‐dependent Ginzburg‐Landau equations of superconductivity with a time‐dependent magnetic field H are discussed. We prove existence and uniqueness of weak and strong solutions with H1‐initial data. The result is obtained under the “φ = −ω(∇⋅A)” gauge with ω > 0. These solutions generate a dynamical process and are uniformly bounded in time.

Date: 2005
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https://doi.org/10.1155/AAA.2005.863

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:8:p:863-887

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