Papers Published
Abstract:
Also avalaiable as Leiden preprint MI 28-99.
A variety of mass preserving moving boundary problems for
the thin film
equation, $u_{t}=-(u^{n}u_{xxx})_{x}$, are derived (by
formal asymptotics)
from a number of regularisations, the case in which the
substrate is
covered by a very thin pre-wetting film being discussed in
most detail.
Some of the properties of the solutions selected in this
fashion are
described and the full range of possible mass preserving
non-negative
solutions is outlined.