Weak-very weak uniqueness to the time-dependent Ginzburg-Landau model for superconductivity in \(\mathbb{R}^n\)

DOI10.1016/j.rinam.2021.100183zbMath1481.35012OpenAlexW3197674959MaRDI QIDQ2063283

Jishan Fan, Gen Nakamura, Hong-Jun Gao

Publication date: 11 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100183

zbMATH Keywords

Ginzburg-Landau modellobal existence of very weak solutions

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Global existence of weak solutions of a time-dependent 3-D Ginzburg-Landau model for super\-conductivity
• Uniform regularity for a 3D time-dependent Ginzburg-Landau model in superconductivity
• Time dependent Ginzburg-Landau equations of superconductivity
• Global well-posedness of weak solutions to the time-dependent Ginzburg-Landau model for superconductivity
• Uniqueness of weak solutions in critical space of the 3‐D time‐dependent Ginzburg‐Landau equations for superconductivity
• 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
• Cauchy problem for the Ginzburg-Landau equation for the superconductivity model
• 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
• Unnamed Item

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