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

0204032Ward这是阿拉巴马大学伯明翰分校的James R. Ward博士与智利大学和智利天主教大学的Raul Manasevich博士和Marta Garcia-Huidobro博士的合作研究项目。研究者打算研究偏微分方程边值问题的数学分析。这些问题出现在慢速和快速扩散的建模中，并且在研究种群和疾病、多孔介质以及本质上是非线性的问题中很有用。研究人员将使用拓扑工具，如度和同伦指标，这是系统行为的有用指标。双方在合作中都有各自的优势。Garcia-Huidobro和Manasevich在拟线性微分方程和分岔方面拥有丰富的经验，而Ward博士则对拓扑工具进行了详细的研究，以用于他们的共同努力。

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.