Mathematical Sciences: Parallel and Distributed Diffusion Models for Heterogeneous Media

数学科学：异构介质的并行分布式扩散模型

• 批准号: 9103984
• 负责人: Ralph Showalter
• 金额: $ 1.76万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-08-15 至 1993-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9103984&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Parallel; Distributed; Diffusion

This project will develop a variety models of diffusion in heterogeneous media as nonlinear systems of partial differential equations. These diffusion processes include heat conduction with phase change, diffusion through porous or fissured media, absorption from a flowing medium by granulated substance, and the macroscopic description of semiconductors modelled as distributed layered systems. These studies are motivated by the need to recognize the correct mathematical formulation of phenomena arising in areas ranging from oil reservoir simulation to semiconductors. The underlying theme is the understanding of the nature of the corresponding microstructure.

该项目将开发各种扩散模型， 非均匀介质非线性偏微分方程组 方程 这些扩散过程包括热传导 相变，通过多孔或裂隙介质扩散， 通过粒状物质从流动介质中吸收， 半导体模型的宏观描述 分层系统 这些研究的动机是需要认识到 正确的数学公式中出现的现象， 从油藏模拟到半导体。 的 基本主题是对事物本质的理解 相应的微观结构。