U.S.-Chile Collaboration: Some Parabolic Equations and Systems of Ordinary Differential Equations with p-Laplacian Type of Operators

美国-智利合作：一些抛物型方程和具有 p-拉普拉斯算子类型的常微分方程组

• 批准号: 0204032
• 负责人: James Ward
• 金额: $ 1.1万
• 依托单位: University of Alabama at Birmingham
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-05-15 至 2006-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0204032&HistoricalAwards=false
• 关键词: U.S.; Chile; Collaboration; Some; Parabolic

0204032WardThis is a collaborative research project between Dr. James R. Ward of University of Alabama at Birmingham, and Dr. Raul Manasevich and Marta Garcia-Huidobro of Universidad de Chile and Pontifica Universidad Catolica de Chile respectively. The investigators intend to work on the mathematical analysis of boundary value problems for partial differential equations. These problems appear in modeling both slow and fast diffusion, and are useful in the study of populations and diseases, porous media, and problems that are inherently nonlinear. The investigators will use topological tools, such as degree and homotopy indexes, that are useful indicators of system behavior.Each side brings their own strengths to the collaboration: Drs. Garcia-Huidobro and Manasevich have extensive experience in quasilinear differential equations and bifurcations, while Dr. Ward has worked at length with the topological tools to be used in their joint effort.

0204032沃德这是一个合作研究项目之间的博士詹姆斯R。沃德博士和劳尔·马纳舍维奇博士以及智利大学和智利天主教大学的玛尔塔Garcia-Huidobro。研究人员打算从事偏微分方程边值问题的数学分析。 这些问题出现在缓慢和快速扩散的建模中，并且在人口和疾病，多孔介质和固有非线性问题的研究中非常有用。 研究人员将使用拓扑工具，如度和同伦指数，这是系统行为的有用指标。双方都为合作带来了自己的优势：Garcia-Huidobro博士和Manasevich博士在准线性微分方程和分叉方面拥有丰富的经验，而Ward博士则在他们的共同努力中使用了拓扑工具。