Critical Points of the Ginzburg–Landau Functional on Multiply-Connected Domains

DOI10.1080/10586458.2000.10504658zbMath0974.65064OpenAlexW2006595439MaRDI QIDQ2706535

John W. Neuberger, Robert J. Renka

Publication date: 19 March 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223409

zbMATH Keywords

PDEnumerical examplescritical pointssuperconductivityGinzburg-Landau functionalGinzburg-Landau equationsmultiply-connected domains

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Statistical mechanics of superconductors (82D55) Applications to the sciences (65Z05) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• An Alternating Crank--Nicolson Method for Decoupling the Ginzburg--Landau Equations
• Sobolev Gradients and the Ginzburg--Landau Functional
• Dynamics of the Ginzburg-Landau equations of superconductivity
• Sobolev gradients and differential equations
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