Our research focuses on the study of chemically reactive flows, including topics related to clean combustion technologies, aerospace propulsion devices, and safety hazards in the built environment. We are interested in fundamental problems that involve the interplay of fluid mechanics, transport processes, and chemical reactions, in particular those emerging in practical combustion systems. Our research approach takes advantage of the disparity of the length and time scales encountered in these complex problems to simplify the solutions, often by application of asymptotic methods that help to identify simpler sub-problems and serve to extract the fundamental underlying physics.