Bang-Sheng Han, Meng-Xue Chang, Hong-Lei Wei, Yinghui Yang
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引用次数: 0
Abstract
This paper is concerned with curved fronts for Belousov-Zhabotinskii reaction-diffusion system in external domains with a compact obstacle K and aims to investigate the large time dynamics of an entire solution emanating from a pyramidal traveling wave. By constructing several super- and sub-solutions with desirable characteristics, some favorable properties of the pyramidal traveling wave are obtained. We show that by providing propagation completely of the entire solution, the pyramidal traveling wave will converge to the same shape of the pyramidal traveling wave after far behind the obstacle.
本文关注具有紧凑障碍物 K 的外部域 Ω=RN﹨K 中的贝洛索夫-扎博金斯基反应扩散系统的曲线前沿，旨在研究由金字塔行波发出的整个解的大时间动力学。通过构建几个具有理想特性的超解和子解，我们获得了金字塔行波的一些有利特性。我们证明，通过提供整个解的完全传播，金字塔行波在远离障碍物后将收敛到金字塔行波的相同形状。
期刊介绍：
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics
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