Explore the fascinating world of Lagrangian coherent structures in this 31-minute video lecture by Dr. Shane Ross of Virginia Tech. Delve into the theoretical mathematical foundations and practical applications of particle transport patterns in fluid flows. Learn about finite-time Lyapunov exponents, unsteady double gyres, and their relevance to various phenomena such as jellyfish feeding zones, hurricane dynamics, and global ocean currents. Discover how these concepts are applied in search and rescue operations, pollution tracking, and reduced order modeling of fluid mechanics. Gain insights into cutting-edge research combining unmanned aircraft systems with atmospheric measurements to predict Lagrangian coherent structures.