Long time behavior of the Ginzburg-Landau superconductivity equations

DOI10.1016/0893-9659(95)00006-CzbMath0829.35122OpenAlexW2084122654MaRDI QIDQ1893685

Shouhong Wang, Tang Qi

Publication date: 20 July 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(95)00006-c

zbMATH Keywords

existenceasymptotic behavioruniquenesssemigroupglobal attractornonstationary Ginzburg-Landau superconductivity model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Time dependent Ginzburg-Landau equations of superconductivity ⋮ The long-time behavior of the transient Ginzburg-Landau model for superconductivity. II ⋮ Robust control problems of vortex dynamics in superconducting films with Ginzburg-Landau complex systems ⋮ Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity ⋮ Existence of periodic solutions for Ginzburg-Landau equations of superconductivity

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• On a non‐stationary Ginzburg–Landau superconductivity model
• On an evolutionary system of ginzburg-landau equations with fixed total magnetic flux
• Zeros of a complex Ginzburg–Landau order parameter with applications to superconductivity
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