Publications [#9846] of Mark Bowen

Papers Published

  1. J. R. King and M. Bowen, Moving boundary problems and non-uniqueness for the thin film equation, Euro. J. Appl. Math. (2001), 12:321-356
    (last updated on 2001/09/07)

    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.