Global well-posedness of the time-dependent Ginzburg–Landau superconductivity model in curved polyhedra

Buyang Li, Chaoxia Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)

Abstract

We prove global existence and uniqueness of weak solutions for the time-dependent Ginzburg–Landau equations in a three-dimensional curved polyhedron which is not necessarily convex, where the gradient of the magnetic potential may not be square integrable. Preceding analyses all required the gradient of the solution to be square integrable, which is only true in convex or smooth domains.
Original languageEnglish
Pages (from-to)102-116
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume451
Issue number1
DOIs
Publication statusPublished - 1 Jul 2017

Keywords

  • Corner
  • Curved polyhedron
  • Singularity
  • Superconductivity
  • Well-posedness

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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