277 citations · 287 across the 7 of their papers we have counts for
5 papers · 1 filter
Finite-time Partitions for Lagrangian Structure Identification in Gulf Stream Eddy Transport
Alexandre Fabregat, Igor Mezic, Andrew C. Poje
We develop a methodology to identify finite-time Lagrangian structures from data and models using an extension of the Koopman operator-theoretic methods developed for velocity fiel…
Ergodicity and spectral cascades in point vortex flows on the sphere
David G. Dritschel, Marcello Lucia, Andrew C. Poje
We present results for the equilibrium statistics and dynamic evolution of moderately large () numbers of interacting point vortices on the unit sph…
Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity
Eugene Dedits, Andrew C. Poje, Tobias Schaefer +1
We consider the two-dimensional advection-diffusion equation on a bounded domain subject to either Dirichlet or von Neumann boundary conditions and study both time-independent and…
Symmetrization of advection-diffusion operators
Eugene Dedits, Andrew C. Poje, Tobias Schaefer +1
We present a new method to transform an expanded class of non-selfadjoint advection-diffusion operators into self-adjoint operators. The transform is based on a combination of a po…
Averaged dynamics of time-periodic advection diffusion equations in the limit of small diffusivity
Tobias Schaefer, Andrew C. Poje, Jesenko Vukadinovic
We study the effect of advection and small diffusion on passive tracers. The advecting velocity field is assumed to have mean zero and to possess time-periodic stream lines. Using…