Autothermal packed-bed reactors (APBRs), which act as both reactor and heat-exchanger, are workhorse of chemical, petrochemical and pharmaceutical industries. APBRs, during an exothermic reaction, may exhibit rich variety of 2-D and 3-D spatiotemporal temperature patterns. The aim of this project is to develop a mathematical model and study the dynamics of spatiotemporal temperature patterns. This project will involve linear stability analysis, numerical simulation of dynamical systems and numerical bifurcation analysis.