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

Buyang Li; Chaoxia Yang

doi:10.1016/j.jmaa.2017.02.007

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

Buyang Li, Chaoxia Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

10 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 language	English
Pages (from-to)	102-116
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	451
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.02.007
Publication status	Published - 1 Jul 2017

Keywords

Corner
Curved polyhedron
Singularity
Superconductivity
Well-posedness

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2017.02.007

http://hdl.handle.net/10397/98641

Cite this

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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.",

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AB - 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.

KW - Corner

KW - Curved polyhedron

KW - Singularity

KW - Superconductivity

KW - Well-posedness

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DO - 10.1016/j.jmaa.2017.02.007

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

Abstract

Keywords

ASJC Scopus subject areas

More information

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