Mathematical Sciences: The Effects of Convection Upon the Long Time Behavior of Solutions of Reaction-Diffusion Equations

数学科学：对流对反应扩散方程解的长期行为的影响

• 批准号: 8822788
• 负责人: Howard Levine
• 金额: $ 5.51万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1991-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8822788&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Effects; Convection; Upon

8822788 Levine This project is to study the effects of both geometry and convective like terms on the long time behavior of solutions of reaction-diffusion equations. Questions of existence and stability of steady state solutions are also addressed. The reaction terms may appear in the transport equation or else in the flux condition on a portion of the boundary. They may be local or nonlocal functions of the solution. The geometries of interest include exterior domains and unbounded domains with unbounded complements such as cones. The nonlinear partial differential equations studied here arise in attempting to describe the behavior of physical or chemical processes. Examples include reacting flows, of interest to chemical engineers, turbulent flows, and thermoelastic materials.

8822788 莱文 这个项目是为了研究几何形状和 方程解的长时间行为 反应扩散方程 存在的问题和 还讨论了稳态解的稳定性。 的 反应项可能出现在输运方程中， 在边界的一部分上的通量条件。 它们可以 解的局部或非局部函数。 的几何形状 兴趣包括外部区域和无界区域， 无限的补集，如圆锥。 非线性偏 这里研究的微分方程是试图 描述物理或化学过程的行为。 实例包括化学反应所关注的反应流 工程师、湍流和热弹性材料。