TY - JOUR
T1 - Moving boundary problems and non-uniqueness for the thin film equation
AU - King, J. R.
AU - Bowen, M.
PY - 2001
Y1 - 2001
N2 - A variety of mass preserving moving boundary problems for the thin film equation, u, = -(unuxxx)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.
AB - A variety of mass preserving moving boundary problems for the thin film equation, u, = -(unuxxx)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.
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U2 - 10.1017/S0956792501004405
DO - 10.1017/S0956792501004405
M3 - Article
AN - SCOPUS:0035613278
SN - 0956-7925
VL - 12
SP - 321
EP - 356
JO - European Journal of Applied Mathematics
JF - European Journal of Applied Mathematics
IS - 3
ER -