Mathematical Sciences: Research in Applied Mathematics

主要的研究人员将研究质量规范下的扩散，一些与固体燃料燃烧有关的自由边值问题，并将分析一些非经典的逆问题。鉴于此类问题在物理系统中的广泛应用，对此类问题的解的定性分析具有重要的科学意义。抛物型偏微分方程在工程、化学和物理的许多领域都是有用的数学模型。通过更好地理解非标准流动模型的基本理论，将产生对真实流动更好的数值预测。

The principal investigator will study diffusion subject to the specification of mass, a number of free boundary value problems related to combustion of solid fuels, and will analyze a number of nonclassical inverse problems. The qualitative analysis of the solutions of such problems is of significant scientific interest in view of the wide spread application of such problems to physical systems. Parabolic partial differential equations are useful as mathematical models in many areas of engineering, chemistry, and physics. By better understanding the fundamental theory of nonstandard models of flows, better numerical predictions of real flows will result.