کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899520 | 1631546 | 2018 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A construction of two different solutions to an elliptic system
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
The paper aims at constructing two different solutions to an elliptic systemuâ
âu+(âÎ)mu=λF defined on the two dimensional torus. It can be viewed as an elliptic regularization of the stationary Burgers 2D system. A motivation to consider the above system comes from an examination of unusual properties of the linear operator λsinâ¡yâxw+(âÎ)mw arising from a linearization of the equation about the dominant part of F. We argue that the skew-symmetric part of the operator provides in some sense a smallness of norms of the linear operator inverse. Our analytical proof is valid for a particular force F and for λ>λ0, m>m0 sufficiently large. The main steps of the proof concern finite dimension approximation of the system and concentrate on analysis of features of large matrices, which resembles standard numerical analysis. Our analytical results are illustrated by numerical simulations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 1, 1 September 2018, Pages 500-530
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 1, 1 September 2018, Pages 500-530
نویسندگان
Jacek Cyranka, Piotr BogusÅaw Mucha,