Geometric construction of critical solutions of nonlinear systems

非线性系统临界解的几何构造

• 批准号: FL120100094
• 负责人: Prof Nalini Joshi
• 金额: $ 236.77万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Australian Laureate Fellowships
• 财政年份: 2012
• 资助国家: 澳大利亚
• 起止时间: 2012-12-12 至 2018-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/FL120100094
• 关键词: Geometric; construction; critical; solutions; nonlinear

Whether we are looking at waves on a beach, the dispersal of herds of animals in a landscape, or the interaction of black holes, their patterns of movement rely on rules expressed by non-linear mathematical models. This project will aim to create new mathematical methods to describe the solutions of non-linear systems, which are ubiquitous in modern science.

无论我们是在海滩上看海浪，动物在景观中的群体的散布，还是黑洞的相互作用，它们的运动模式都取决于非线性数学模型表达的规则。该项目旨在创建新的数学方法来描述在现代科学中无处不在的非线性系统的解决方案。