反应扩散系统中接触缺陷的截断
Truncation of contact defects in reaction-diffusion systems
摘要:
接触缺陷是在一个空间维度上的时间周期性图案,其类似于在其核心区域中具有嵌入缺陷的空间均匀振荡。为了理论和数值计算的目的,重要的是要了解这些缺陷是否持续时,域被截断到大的空间间隔,辅以适当的边界条件。目前的工作表明,截断接触缺陷存在,并在足够大的空间间隔是唯一的。
英文摘要:
Contact defects are time-periodic patterns in one space dimension that resemble spatially homogeneous oscillations with an embedded defect in their core region. For theoretical and numerical purposes, it is important to understand whether these defects persist when the domain is truncated to large spatial intervals, supplemented by appropriate boundary conditions. The present work shows that truncated contact defects exist and are unique on sufficiently large spatial intervals.
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