Derivation via Hamilton's principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomenaBastien Delacroix, Maxime Bouyges, Ghislain Blanchard, Claire Laurent and Philippe VilledieuESAIM: ProcS, 72 (2023) 64-92DOI: https://doi.org/10.1051/proc/202372064