Sharp transitions in partial differential equations and related problems

本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。

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.