Mathematical Sciences: Parellel and Distributed Diffusion Models for Heterogeneous Media

首席研究员将进行研究，为分布式微结构系统开发基础理论。这些系统提供了复合介质各组分之间复杂界面的特别有效的表示。鉴于这类系统在物理系统中的广泛应用，对其解的定性分析具有重要的科学意义。反应扩散方程在工程、化学和物理的许多领域都是有用的数学模型。通过更好地理解非标准模型模拟流动的基本理论，将得到更好的裂隙介质中实际单相流动的数值预测。

The principal investigator will conduct research developing a fundamental theory for distributed microstructure systems. These systems provide a particularly effective representation of the intricate interface between the components of a composite medium. The qualitative analysis of the solutions of such systems is of significant scientific interest in view of the wide spread application of such systems to physical systems. Reaction-diffusion equations are useful as mathematical models in many areas of engineering, chemistry, and physics. By better understanding the fundamental theory of nonstandard models modelling flows, better numerical predictions of real single phase flow in fractured media will result.