Pattern formation in reaction diffusion systems - theory and applications

反应扩散系统中的图案形成 - 理论与应用

• 批准号: 312604-2011
• 负责人: Iron, David
• 金额: $ 0.8万
• 依托单位: Dalhousie University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=526595
• 关键词: Pattern; formation; reaction; diffusion; systems

A common feature of nonlinear partial differential equations is the spontaneous formation of ordered structures. I study a particular class of such partial differential equations, reaction diffusion equations. In these systems the combination of diffusion with nonlinear reaction terms often results in the formation of highly localized spatial structures. Such systems come from models in such areas of science as developmental biology, ecology, chemistry and optics.

非线性偏微分方程的一个共同特征是有序结构的自发形成。我研究了一类特殊的偏微分方程，反应扩散方程。在这些系统中，扩散项和非线性反应项的结合常常导致高度局域空间结构的形成。这些系统来自发育生物学、生态学、化学和光学等科学领域的模型。