Mathematical Sciences: RUI: Mathematical Problems from Combustion Theory

有了这个奖项，主要研究人员将继续 反应性热模型的数学分析 爆炸 特别是，他们将分析解决方案， 初始边值问题，描述的演变， 扩散和非扩散的热爆炸在有限的领域， 以确定何时何地会发生爆炸。 关于后一个问题，主要调查人员 将精确地描述如何爆破奇点演变， 空间和时间，因为达到了爆破时间。 涉及燃烧和爆炸的自然现象 重要的科学技术领域的调查。 作为 对于许多物理过程，通常有两种途径， 研究：理论和实验。 这个奖项 表示燃烧的理论方法。 在它的 主要研究人员将使用数学分析， 确定爆炸发生的地点和时间， 容器中的反应系统和热点的位置。

With this award the principal investigators will continue their mathematical analysis of models of reactive thermal explosions. In particular, they will analyze the solutions of initial-boundary value problems that describe the evolution of diffusive and nondiffusive thermal explosions in confined domains, in order to determine where and when explosions will take place. With regard to these latter questions the principal investigators will describe precisely how the blowup singularities evolve in space and time as the blowup time is reached. Natural phenomena involving burning and explosions offer important scientific and technological areas of investigation. As with many physical processes there are generally two avenues for study: the theoretical and the experimental. This award represents the theoretical approach to combustion. In it the principal investigators will use mathematical analysis to determine where and when explosions occur in models of thermally reactive systems in containers and the locations of hotspots.