Moving boundary problems and non-uniqueness for the thin film equation

J. R. King*, M. Bowen

*この研究の対応する著者

研究成果: Article査読

45 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)321-356
ページ数36
ジャーナルEuropean Journal of Applied Mathematics
12
3
DOI
出版ステータスPublished - 2001
外部発表はい

ASJC Scopus subject areas

  • 応用数学

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