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

这项建议将继续在以下几个领域进行研究： 非线性应用动力学 可激发系统- 可以由一个小的刺激触发-作为几个模型出现 生理和化学现象。 建议研究 这种系统，重点是了解定期和 非周期性的行为。 另一个项目是研究 具有多种引发剂的聚合反应器的模型， 与一些化学工程师合作。 重点是 尽可能完整地建模工业流程， 了解反应器在不同操作条件下的行为 以达到控制的目的，特别是防止 反应堆的灾难性失控 还拟议 继续努力了解站立的稳定性， 抛物型微分方程的行波解

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.