  In Part II of this sequence to our previous paper for the 3-dimensional Euler
equations \cite{zhang2022potential}, we investigate potential singularity of
the $n$-diemnsional axisymmetric Euler equations with $C^\alpha$ initial
vorticity for a large range of $\alpha$. We use the adaptive mesh method to
solve the $n$-dimensional axisymmetric Euler equations and use the scaling
analysis and dynamic rescaling method to examine the potential blow-up and
capture its self-similar profile. Our study shows that the $n$-dimensional
axisymmetric Euler equations with our initial data develop finite-time blow-up
when the H\"{o}lder exponent $\alpha<\alpha^*$, and this upper bound $\alpha^*$
can asymptotically approach $1-\frac{2}{n}$. Moreover, we introduce a
stretching parameter $\delta$ along the $z$-direction. Based on a few
assumptions inspired by our numerical experiments, we obtain
$\alpha^*=1-\frac{2}{n}$ by studying the limiting case of $\delta \rightarrow
0$. For the general case, we propose a relatively simple one-dimensional model
and numerically verify its approximation to the $n$-dimensional Euler
equations. This one-dimensional model sheds useful light to our understanding
of the blowup mechanism for the $n$-dimensional Euler equations. As shown in
\cite{zhang2022potential}, the scaling behavior and regularity properties of
our initial data are quite different from those of the initial data considered
by Elgindi in \cite{elgindi2021finite}.
