Propagation via nonlinear partial differential equations

通过非线性偏微分方程的传播

• 批准号: DP190103757
• 负责人: Prof Yihong Du
• 金额: $ 32.59万
• 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: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP190103757
• 关键词: Propagation; via; nonlinear; partial; differential

This project aims to develop new theories in nonlinear partial differential equations to better understand propagation phenomena. Propagation occurs in various forms, such as the spreading of invasive species, infectious diseases or cancer cells, or the progression of the healing front of a wound. This project aims to understand propagation speed and profile, criteria for spreading and vanishing, and other qualitative properties of the equations. The project will develop new mathematical theories, and build bridges between the theories and applications.

这个项目旨在发展非线性偏微分方程的新理论，以更好地理解传播现象。传播以各种形式发生，如入侵物种的传播、传染病或癌细胞的传播，或伤口愈合前沿的进展。这个项目旨在了解传播速度和轮廓，传播和消失的标准，以及方程的其他定性性质。该项目将发展新的数学理论，并在理论和应用之间架起桥梁。