  In this work we deal with the selection problem of flows of an irregular
vector field. We first summarize an example from \cite{CCS} of a vector field
$b$ and a smooth approximation $b_\epsilon$ for which the sequence $X^\epsilon$
of flows of $b_\epsilon$ has subsequences converging to different flows of the
limit vector field $b$. Furthermore, we give some heuristic ideas on the
selection of a subclass of flows in our specific case.
