Mathematical Sciences: Limits for Reaction-Diffusion Models

主要研究者将继续研究一类密度相关的随机反应扩散模型的流体动力学行为。课程将研究大数定律、中心极限定理和大偏差行为。还将继续将其应用于相关模型和相关领域，如由跳跃过程驱动的随机偏微分方程式。这项工作将有助于数学和物理科学之间的互动。主要研究人员将继续研究从某些化学反应的微观模型导出某些宏观反应扩散方程的方法。这项工作将有助于数学和物理科学之间的互动。

The principal investigator will continue his study of hydrodynamic behavior of a class of density dependent stochastic reaction-diffusion models. Laws of large numbers, central limit theorems, and large deviation behavior will be investigated. Applications to related models and related areas such as stochastic partial differential equations driven by jump processes will also be pursued. The work will contribute to the interaction of mathematics and the physical sciences. The principal investigator will continue his study of the derivation of certain macroscopic reaction-diffusion equations from certain microscopic models of chemical reactions. The work will contribute to the interaction of mathematics and the physical sciences.