Sharp transitions in partial differential equations and related problems

偏微分方程中的急剧转变及相关问题

• 批准号: DP0772693
• 负责人: Prof Yihong Du
• 金额: $ 16.64万
• 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: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-01-02 至 2010-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0772693
• 关键词: Sharp; transitions; partial; differential; equations

This research produces cruicial mathematical methods and results for better understanding important nonlinear problems in applied siences, such as ecology and material science. The mathematical theory itself is of significant value in nonlinear partial differential equations. The project strengthens Australian research in nonlinear sience, a critical area of modern international research, and provides high level training for the next generation of Australian mathematicians.

这项研究为更好地理解生态学和材料科学等应用科学中的重要非线性问题提供了关键的数学方法和结果。数学理论本身在非线性偏微分方程组中具有重要的价值。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关键领域，并为澳大利亚下一代数学家提供高水平的培训。