Mathematical Sciences: Dynamics of Nonlinear Models in Biology and Chemistry; Wave Solutions of Parabolic Differential Equations

数学科学：生物学和化学中非线性模型的动力学；

• 批准号: 9001788
• 负责人: Patrick Fitzpatrick
• 金额: $ 9.23万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001788&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Nonlinear; Models

This proposal is to continue research in several areas of nonlinear applied dynamics. Excitable systems---systems which can be triggered by a small stimulus---arise as models of several physiological and chemical phenomena. It is proposed to study such systems, with an emphasis on understanding the periodic and aperiodic behavior that is seen. Another project is studying models of polymerization reactors with multiple initiators, in collaboration with some chemical engineers. The emphasis is to model industrial processes as completely as possible and understand behaviors of reactors under different operating conditions so as to effect control, and in particular, prevent catastrophic runaway of reactors. It is also proposed to continue work on understanding the stability of standing-and travelling-wave solutions of parabolic differential equations.

这项建议是为了继续在非线性应用动力学的几个领域进行研究。可兴奋的系统-可以由一个小刺激触发的系统-作为几种生理和化学现象的模型出现。人们建议研究这类系统，重点是了解所看到的周期和非周期行为。另一个项目是与一些化学工程师合作，研究具有多个引发剂的聚合反应器的模型。重点是尽可能完整地模拟工业过程，了解反应堆在不同运行条件下的行为，以便进行控制，特别是防止反应堆灾难性的失控。还建议继续研究抛物型方程驻波解和行波解的稳定性。