کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774275 1413554 2017 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interior and boundary spikes for the two-dimensional Gierer-Meinhardt system
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Interior and boundary spikes for the two-dimensional Gierer-Meinhardt system
چکیده انگلیسی
We prove the existence of assemblies of interior and boundary spikes as stationary solutions of the two-dimensional Gierer-Meinhardt system. Moreover, we also discover that the locations of the spikes are determined by the curvature of the domain boundary together with the Green's function of the domain. A reflection operator of −Δ is introduced to study the behaviour of the regular part of Green's function around the boundary. This reflection generalizes the well-known notions of mirror image and circle inversion for domains with sufficiently smooth boundary.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 11, 5 June 2017, Pages 5363-5408
نویسندگان
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