Transitions and singular behaviour in nonlinear partial differential equations

非线性偏微分方程中的转移和奇异行为

• 批准号: DP1093638
• 负责人: Prof Yihong Du
• 金额: $ 15.97万
• 依托单位: The University of New England
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2010
• 资助国家: 澳大利亚
• 起止时间: 2010-01-01 至 2013-10-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP1093638
• 关键词: Transitions; singular; behaviour; nonlinear; partial

This research produces crucial mathematical methods and results for the understanding of several important nonlinear problems in applied sciences. The mathematical theory itself is of significant value in nonlinear partial differential equations. The project strengthens Australian research in nonlinear science, a critical area of modern international research, and provides high level training for the next generation of Australian mathematicians.

这项研究为理解应用科学中的几个重要非线性问题提供了重要的数学方法和结果。数学理论本身在非线性偏微分方程中具有重要价值。该项目加强了澳大利亚在非线性科学方面的研究，这是现代国际研究的一个关键领域，并为下一代澳大利亚数学家提供高水平的培训。