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- W4300583244 abstract "The correlation term, introduced in [13] to describe the interaction between very far apart vortices, governs symmetry-breaking for the Ginzburg-Landau equation in R^2 or bounded domains. It is a homogeneous function of degree (-2), and then for 2pi/N-symmetric vortex configurations can be expressed in terms of the so-called correlation coefficient. Ovchinnikov and Sigal [13] have computed it in few cases and conjectured its value to be an integer multiple of pi/4. We will disprove this conjecture by showing that the correlation coefficient always vanishes, and will discuss some of its consequences." @default.
- W4300583244 created "2022-10-03" @default.
- W4300583244 creator A5037696680 @default.
- W4300583244 date "2012-10-23" @default.
- W4300583244 modified "2023-09-28" @default.
- W4300583244 title "Some remarks concerning symmetry-breaking for the Ginzburg-Landau equation" @default.
- W4300583244 doi "https://doi.org/10.48550/arxiv.1210.6315" @default.
- W4300583244 hasPublicationYear "2012" @default.
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