Thin ﬁlms of ﬂuids are of central importance in numerous industrial, biomedical, geophysical and domestic applications, and display a rich and varied range of behaviours, including pattern formation, dewetting, rupture and ﬁnite-time blow up. As well as being of great interest in their own right, thin-ﬁlm ﬂows provide a “test bed” for research into a variety of challenging nonlinear problems in engineering, physics, chemistry, biology, and mathematics. As a consequence, research by a wide range of scientists, using a variety of analytical, numerical and experimental techniques on many different aspects of thin-ﬁlm ﬂow, has grown significantly in recent years, as novel applications have continued to appear and increasingly sophisticated theoretical and experimental techniques have been developed.
- engineering mathematics
- thin-film flow