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.

无论我们观察的是海滩上的海浪，还是风景中动物群的扩散，还是黑洞之间的相互作用，它们的运动模式都依赖于由非线性数学模型表达的规则。这个项目的目标是创造新的数学方法来描述在现代科学中普遍存在的非线性系统的解。