کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590710 1334978 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some remarks concerning symmetry-breaking for the Ginzburg–Landau equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Some remarks concerning symmetry-breaking for the Ginzburg–Landau equation
چکیده انگلیسی

The correlation term, introduced in [13] to describe the interaction between very far apart vortices, governs symmetry-breaking for the Ginzburg–Landau equation in R2R2 or bounded domains. It is a homogeneous function of degree (−2)(−2), and then for 2πN-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 π4. We will disprove this conjecture by showing that the correlation coefficient always vanishes, and will discuss some of its consequences.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 10, 15 November 2013, Pages 2189–2203
نویسندگان
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