Cauchy problem for the Ginzburg-Landau equation for the superconductivity model

DOI10.1017/S0308210500027001zbMath0894.35024MaRDI QIDQ4374790

Bo-ling Guo, Guang-Wei Yuan

Publication date: 14 September 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

gauge invarianceLorentz gaugeCoulomb gaugetime-dependent Ginzburg-Landau system

Mathematics Subject Classification ID

Related Items (6)

A note on the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\) ⋮ A note on a non-isothermal model for superconductivity ⋮ A finite element method for the dynamical Ginzburg-Landau equations under Coulomb gauge ⋮ A regularity criterion to the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\) ⋮ Global well-posedness of axially symmetric weak solutions to the Ginzburg–Landau model in superconductivity ⋮ Weak-very weak uniqueness to the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\)

Cites Work

• Unnamed Item
• Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\)
• The existence of Ginzburg-Landau solutions on the plane by a direct variational method
• Macroscopic Models for Superconductivity
• On a non‐stationary Ginzburg–Landau superconductivity model
• Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity

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