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Ginzburg - Landau - Fluxoids

✍ Scribed by U. Kammerer

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
318 KB
Volume
1
Category
Article
ISSN
0010-4655

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approximated by smooth S 2 -valued maps. More recently, the authors in proved, as a special case of more general results, that if u 2 W 1;1 \ L 1 ðR 2 ; S 1 Þ and the distributional Jacobian of u is a Radon measure, then this measure must be atomic. Similar results are found in the work of Giaquint

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## Communicated by W. Eckhaus We consider parabolic systems defined on cylindrical domains close to the threshold of instability, in which the Fourier modes with positive growth rates are concentrated at a non-zero critical wave number. In particular, we consider systems for which a so-called Ginz