RT Journal Article T1 Path-integrated Lagrangian measures from the velocity gradient tensor A1 Pérez Muñuzuri, Vicente A1 Huhn, Florian AB Spatial maps of the finite-time Lyapunov exponent (FTLE) have been used extensively to study LCS intwo-dimensional dynamical systems, in particular with application to transport in unsteady fluid flows. We use thetime-periodic double-gyre model to compare spatial fieldsof FTLE and the path-integrated Eulerian Okubo–Weiss parameter (OW). Both fields correlate strongly, and by solvingthe dynamics of the deformation gradient tensor, a theoretical relationship between both magnitudes has been obtained.While for long integration times more and more FTLE ridgesappear that do not seem to coincide with the stable manifold,ridges in the field of path-integrated OW represent feweradditional structures. PB Copernicus Publications SN 1023-5809 YR 2013 FD 2013 LK http://hdl.handle.net/10347/21636 UL http://hdl.handle.net/10347/21636 LA eng NO Pérez-Muñuzuri, V. and Huhn, F. (2013). Path-integrated Lagrangian measures from the velocity gradient tensor, Nonlin. "Processes Geophys", 20, 987–991 NO This work was supported in part by the Ministerio de Educación y Ciencia under research grant no. FIS2010-21023 and ICMAT Severo Ochoa project SEV-2011-0087 DS Minerva RD 28 abr 2026