  We generalize the no-neck result of Qing-Tian \cite{QT} to show that there is
no neck during blowing up for the $n$-harmonic flow as $t\to\infty$. As an
application of the no-neck result, we settle a conjecture of Hungerb\"uhler
\cite {Hung} by constructing an example to show that the $n$-harmonic map flow
on an $n$-dimensional Riemannian manifold blows up in finite time for $n\geq
3$.
