Global well-posedness of axially symmetric weak solutions to the Ginzburg–Landau model in superconductivity. Issue 10 (27th July 2021)

• Record Type: Journal Article
• Authors: Lu, Shengqi; Chen, Miaochao; Liu, Qilin
• Is Part Of: Applicable analysis. Volume 100:Issue 10(2021)
• Page Start: 2163
• Page End: 2169
• Publication Date: 2021-07-27
• Subjects: B. R. Vainberg; Uniqueness -- weak solutions -- superconductivity; 35K55; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1679786
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: This paper proves global existence and uniqueness of axially symmetric weak solutions to the 3D time-dependent Ginzburg–Landau model in superconductivity in R 3 with L 2 initial data and the choice of Lorentz gauge. We are unable to prove a similar result with the Coulomb gauge.