کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774350 1413556 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and mass concentration of 2D attractive Bose-Einstein condensates with periodic potentials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and mass concentration of 2D attractive Bose-Einstein condensates with periodic potentials
چکیده انگلیسی
In this paper we consider a two-dimensional attractive Bose-Einstein condensate with periodic potential, described by Gross-Pitaevskii (GP) functional. By concentration-compactness lemma we show that minimizers of this functional exist when the interaction strength a satisfies a⁎0, and there is no minimizer for a≥a⁎. When a approaches a⁎, using concentration-compactness arguments again we obtain an optimal energy estimate depending on the shape of periodic potential. Moreover, we analyze the mass concentration.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 2684-2704
نویسندگان
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