Chevron Pattern Equations: Exponential Attractor and Global Stabilization

被引：0
|
作者：
Habiba Kalantarova
Varga Kalantarov
Orestis Vantzos
机构：
[1] Technion-Israel Institute of Technology,Department of Materials Science and Engineering
[2] Koç University,Department of Mathematics
[3] Azerbaijan State Oil and Industry University,undefined
[4] Lightricks Ltd.,undefined
来源：
Vietnam Journal of Mathematics | 2021年 / 49卷
关键词：
Chevron patterns; Feedback stabilization; Exponential attractor; Fourier modes; Finite differences; 35K55; 35B41; 65M06; 76A15; 93D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions. The stabilization of an arbitrary fixed solution is shown in one spatial dimension along with relevant numerical results.
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页码：901 / 918
页数：17
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