Abstract
We study how the indirect observation of dark matter substructures in the
Milky Way, using recent stellar stream studies, translate into constraints for
different dark matter models. We obtain the lower bounds $m_WDM >
3.2\,keV$ and $m_FDM > 5.210^-21\,eV$ on the warm
dark matter and fuzzy dark matter particle mass, respectively. When dark matter
is coupled to a dark radiation bath, we find that kinetic decoupling must take
place at temperatures higher than $T_kd > 0.7\,keV$. We also
discuss future prospects of stellar stream observations.
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