Papers Published
Abstract:
Also available as Leiden Preprint MI 29-99.
We investigate the
extinction behaviour of a fourth order degenerate
diffusion equation in a bounded domain, the model
representing the flow of
a viscous fluid over edges
at which zero contact angle conditions hold. The extinction
time may be
finite or infinite and we distinguish between the two cases
by identification
of appropriate similarity solutions. In certain cases an
unphysical mass increase may occur for early time and the
solution
may become
negative; an appropriate remedy for this is
noted. Numerical simulations supporting the analysis are
included.