Article
Existence of a global weak solution for a 2d viscous bi-layer Shallow Water model
Author/s | Zabsonré, J.D.
Narbona Reina, Gladys |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2009 |
Deposit Date | 2016-01-13 |
Published in |
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Abstract | We 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 ... We 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. |
Citation | Zabsonré, 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. |
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