2 papers
math.AP2019
A new family of reduced models for non-isothermal falling films
Nicolas Cellier, Christian Ruyer-Quil
New asymptotic models are formulated to capture the thermal transfer across falling films. These models enable to simulate a wide range of Biot and Peclet number values, without di…
math.AP2019
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…