Blow-up phenomena in semilinear elliptic partial differential equations

半线性椭圆偏微分方程中的爆炸现象

• 批准号: DP0984807
• 负责人: Dr Sanjiban Santra
• 金额: $ 19.03万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2009
• 资助国家: 澳大利亚
• 起止时间: 2009-05-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0984807
• 关键词: Blow; up; phenomena; semilinear; elliptic

This project will address important questions in semilinear elliptic partial differential equations. It will determine the existence, multiplicity, breaking of symmetry, and concentration phenomena of solutions of semilinear partial differential equations. The asymptotic behaviour of solutions in semilinear equations has enormous potential to impact on fields in which differential equations can be applied to simple mechanical systems, and built and diverse natural phenomena such as suspension bridges, galaxies and mathematical biology problems.

该项目将在半椭圆形偏微分方程中解决重要问题。它将确定对称性的存在，多样性，破坏对称性和集中现象 半连接部分偏微分方程的解决方案。半线性方程中解决方案的渐近行为具有影响微分方程可以应用于简单机械系统的田地，以及建立和多样化的自然现象（例如悬架桥，星系和数学生物学问题）的巨大潜力。