Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/76287
Title: Global well-posedness of the time-dependent Ginzburg Landau superconductivity model in curved polyhedra
Authors: Li, BY 
Yang, CX
Keywords: Superconductivity
Curved polyhedron
Corner
Singularity
Well-posedness
Issue Date: 2017
Publisher: Academic Press
Source: Journal of mathematical analysis and applications, 2017, v. 451, no. 1, p. 102-116 How to cite?
Journal: Journal of mathematical analysis and applications 
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.
URI: http://hdl.handle.net/10397/76287
ISSN: 0022-247X
EISSN: 1096-0813
DOI: 10.1016/j.jmaa.2017.02.007
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