We introduce a new approach to locating key material transport barriers in two-dimensional,
non-autonomous dynamical systems, such as unsteady planar fluid flows. Seeking transport …

Using the recently developed variational theory of hyperbolic Lagrangian coherent
structures (LCSs), we introduce a computational approach that renders attracting and …

The lack of reliable forecasts for the spread of oceanic and atmospheric contamination
hinders the effective protection of the ecosystem, society, and the economy from the fallouts …

Marine electromagnetic (EM) inverse methods have recently been rapidly developed for
offshore exploration. However, inverted resistivity results with low resolution are provided by …

Recent results suggest that boundaries of coherent fluid vortices (elliptic coherent structures)
can be identified as closed null geodesics of appropriate Lorentzian metrics defined on the …

Recent advances enable the simultaneous computation of both attracting and repelling
families of Lagrangian Coherent Structures (LCS) at the same initial or final time of interest …

Integral flow surfaces constitute a widely used flow visualization tool due to their capability to
convey important flow information such as fluid transport, mixing, and domain segmentation …

Marine controlled source electromagnetic (CSEM) data inversion for hydrocarbon
exploration is often challenging due to high computational cost, physical memory …

While modern computer aided design (CAD) systems currently offer tools for generating
simple patterns, such as uniformly spaced rectangular or radial patterns, these tools are …

Lagrangian coherent structures (LCSs) are time-evolving surfaces that shape trajectory
patterns in non-autonomous dynamical systems, such as turbulent fluid flows. Hyperbolic …