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Vertically Global, Horizontally Local Models for Astrophysical Disks (INFORMAL PRESENTATION)
(Niels Bohr International Academy)
The shearing box has been extensively used for studying
local processes in accretion disks. This framework is appropriate for
studying barotropic disks, for which the pressure is only a function
of the density and the angular frequency is independent of height. I
will introduce a more general framework by showing that, given a
global disk model, it is possible to develop consistent models that
are local in horizontal planes and global in height with
shearing-periodic boundary conditions. These models can be
non-axisymmetric for globally barotropic disks but should be
axisymmetric for globally baroclinic disks. I will illustrate the
potential of this new framework with two prominent applications,
namely the vertical shear instability and the magnetorotational
instability. I will discuss the prospects of using this new framework
to study a wide variety of astrophysical phenomena.