The abundance of satellite galaxies in the inner region of $\Lambda$CDM
  Milky Way sized haloes
  The concordance $\Lambda$CDM cosmology predicts tens of satellite galaxies
distributed in the inner region ($<40\ \lkpc$) of the Milky Way (MW), yet at
most $12$ were discovered at present day, including 3 discovered very recently
by Dark Energy Survey (DES) and 5 from other surveys (e.g. PanSTARRS,
MagLiteS). We use $5$ ultra-high resolution simulations of MW sized dark matter
haloes from the $\aqua$ project, combined with $\galf$ semi-analytical galaxy
formation model, to investigate properties of the model satellite galaxy
population inside $40\ \lkpc$ of MW sized haloes. On average, in each halo this
model predicts about $20$ inner satellite galaxies, among them $5$ are
comparable to the classic satellites in the luminosity, these are in stark
contrast to the corresponding numbers in observations. We further investigate
the survivability of these model inner satellites in the presence of a central
stellar disk with a set of ideal simulations. These are done by re-evolving a
quarter (30) of the whole $\aqua$ inner satellite galaxies (121) by including a
static disk potential in addition to the MW halo. Our finding is that the
additional disk completely disrupt 40 percents of these satellites and results
in $14$ satellite galaxies within the $40\ \lkpc$ of each $\aqua$ at the end,
in reasonably well agreement with observations.
