Zabsonré, J.D.Narbona Reina, Gladys2016-01-132016-01-132009Zabsonré, J.D. y Narbona-Reina, G. (2009). Existence of a global weak solution for a 2d viscous bi-layer Shallow Water model. Nonlinear analysis: real world applications, 10, 2971-2984.1468-1218http://hdl.handle.net/11441/32490We consider a non-linear viscous bi-layer shallow water model with capillarity effects and extra friction terms in a two-dimensional space. This system is issued from a derivation of three-dimensional Navier–Stokes equations with a water-depth depending on friction coefficients. We prove an existence result for a global weak solution in a periodic domain Ω = T 2.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Shallow waterBi-layerViscous modelsEnergetic consistencyGlobal weak existenceinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.nonrwa.2008.09.004