We are concerned with fluid having very small thickness flowing on an inclined bottom. The
thickness of the fluid varies by changing time, so that it forms wave propagation, and we …

Wave propagation is observed on a thin film. The fluid is on an inclined plane so that it can
be modeled based on theory of lubrication. Together with the fluid boundaries, the fluid …

Abstract The Saint-Venant Equation (SVE) is the equation that describes the flow below a
pressure surface in a fluid in unidirectional form. The SVE is in the form of partial differential …

In this paper, the generation of surface waves by wind is modeled using an extended
shallow water model. Jeffreys' sheltering mechanism is incorporated to model the wind …

Thin film flow on an inclined plane can be modeled from lubrication theory. Together with
boundary conditions, the governing equations can be formulated into a single equation of …

Thin film flow on an inclined plane can be modeled from lubrication theory. Together with
boundary conditions, the governing equations can be formulated into a single equation of …

Wave propagation is considered on surface fluid flowing in an inclined channel. The model
is shallow water equations extended by involving the bed inclination and bottom friction. The …