Uniqueness and Decay of Weak Solutions to Phase-Lock Equations

DOI10.5890/DNC.2021.03.003zbMath1490.35469OpenAlexW3108659670MaRDI QIDQ5087559

Gen Nakamura, Jishan Fan, Mei-Qin Zhan

Publication date: 1 July 2022

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2021.03.003

zbMATH Keywords

weak solutionsGinzburg-Landau equations

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Ginzburg-Landau equations (35Q56)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity
• Well-posedness of phase-lock equations of superconductivity
• Nonlinear elliptic and parabolic equations involving measure data
• Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity
• Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
• 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
• Uniqueness of Weak Solutions to the 3D Ginzburg–Landau Superconductivity Model