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

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  • Fouzi Zaouch

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 H 1 -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.

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  • Fouzi Zaouch, 2005. "Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity," Abstract and Applied Analysis, Hindawi, vol. 2005, pages 1-25, January.
    • Handle: RePEc:hin:jnlaaa:813716
    DOI: 10.1155/AAA.2005.863
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