Dr. Julien's primary area of research is focussed in the mathematical geosciences. Specifically, the modeling of dynamical processes and instabilities occurring in geophysical and astrophysical flows. Examples include protoplanetary disks, stably and unstably stratified flows (such as penetrative convection, rotating and magneto- convection), shear flows and boundary effects in turbulent convection. Particular emphasis is placed on the identification of reduced PDE models that accurately describe coherent structures, the transport and organization of large-scale flows, mean flow generation, and wave propagation. Complimentary to these interest is the development of fast numerical algorithms for the purpose of numerical simulations on state of the art high performance computing architectures. Dr Julien's also experienced in the areas of dynamical systems and physical applied mathematics.
Geophysical and Astrophysical Fluid Dynamics, Fluid Dynamics, Physical Applied Mathematics, Nonlinear Dynamics, Computational Fluid Dynamics, Hydrodynamics, Asymptotics, Dynamical Systems