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Solutions to the Ginzburg-Landau equations for planar textures in superfluid3He

✍ Scribed by V. L. Golo; M. I. Monastyrsky; S. P. Novikov

Publisher
Springer
Year
1979
Tongue
English
Weight
486 KB
Volume
69
Category
Article
ISSN
0010-3616

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For disc domains and for periodic models, we construct solutions of the Ginzburg-Landau equations which verify in the limit of a large Ginzburg-Landau parameter specified qualitative properties: the limit density of the vortices concentrates on lines.

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The time-dependent Ginzburg-Landau equations of superconductivity in three spatial dimensions axe investigated in this paper. We establish the existence of global weak solutions for this model with any L p (p \_> 3) initial data. This work generalizes the results in . (~) 1999 Elsevier Science Ltd.