Global well-posedness of weak solutions to the time-dependent Ginzburg-Landau model for superconductivity

DOI10.11650/tjm/180102zbMath1404.35425OpenAlexW2787469396MaRDI QIDQ1990411

Tohru Ozawa, Jishan Fan

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1517281218

zbMATH Keywords

superconductivityLorentz gaugeGinzburg-Landau model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Statistical mechanics of superconductors (82D55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (13)

Stochastic Ginzburg–Landau equation on a half-line driven by the multiplicative noise ⋮ Uniqueness and Decay of Weak Solutions to Phase-Lock Equations ⋮ A note on the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\) ⋮ A note on a non-isothermal model for superconductivity ⋮ Local well‐posedness for an isentropic compressible Ginzburg–Landau–Navier–Stokes with vacuum ⋮ A regularity criterion to a mathematical model in superfluidity in \(\mathbb{R}^n\) ⋮ Regularity criteria for a density-dependent incompressible Ginzburg–Landau–Navier–Stokes system in a bounded domain ⋮ Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system. ⋮ A regularity criterion to the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\) ⋮ Regularity criteria for a Ginzburg-Landau-Navier-Stokes system in a bounded domain ⋮ Weak-very weak uniqueness to the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\) ⋮ A reduced Ginzburg–Landau model in ℝⁿ ⋮ Global well-posedness of weak and strong solutions to the nD phase-lock system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity
• A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains
• Global existence of weak solutions of a time-dependent 3-D Ginzburg-Landau model for super\-conductivity
• Time dependent Ginzburg-Landau equations of superconductivity
• Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
• Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model
• On a non‐stationary Ginzburg–Landau superconductivity model
• On an evolutionary system of ginzburg-landau equations with fixed total magnetic flux
• Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity
• Uniqueness of Weak Solutions to the 3D Ginzburg–Landau Superconductivity Model

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